Projects funded by the NCN

Information on the principal investigator and host institution

Information of the project and the call

Keywords

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Symmetry, Curvature Reduction and EquivAlence Methods

2019/34/H/ST1/00636

Keywords:

Lie groups and Lie algebras Cartan connections simple Lie groups and Lie algebras nonholonomic mechanics cosmology geometric robots

Descriptors:

  • ST1_005:
  • ST1_007:
  • ST7_001:

Panel:

ST1 - Mathematics: all areas of mathematics, pure and applied, as well as mathematical foundations of computer science, physics and statistics

Host institution :

Centrum Fizyki Teoretycznej Polskiej Akademii Nauk

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Paweł Krzysztof Nurowski 

Number of co-investigators in the project: 10

Call: GRIEG 1 - announced on 2019-06-17

Amount awarded: 5 997 985 PLN

Project start date (Y-m-d): 2020-09-04

Project end date (Y-m-d): 2024-04-03

Project duration:: 43 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Information in the final report

  • Publication in academic press/journals (61)
  1. On Jordan Classes for Vinberg's θ-groups
    Authors:
    Giovanna Carnovale, Francesco Esposito, Andrea Santi
    Academic press:
    Transformation Groups (rok: 2023, tom: 28, strony: 151–183), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00031-021-09675-8 - link to the publication
  2. The Bach equation and the matching of spacetimes in the Conformal Cyclic Cosmology models
    Authors:
    Jarosław Kopiński and Juan A. Valiente Kroon
    Academic press:
    Physical Review D (rok: 2022, tom: 106, strony: 84034), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.106.084034 - link to the publication
  3. Invariant divisors and equivariant line bundles
    Authors:
    Boris Kruglikov, Eivind Schneider
    Academic press:
    Forum of Mathematics Sigma (rok: 2024, ), Wydawca: Cambridge University Press
    Status:
    Submitted
  4. On 3-nondegenerate CR manifolds in dimension 7 (II): the intransitive case
    Authors:
    Boris Kruglikov, Andrea Santi
    Academic press:
    Journal of Geometric Analysis (rok: 2023, ), Wydawca: Springer
    Status:
    Submitted
  5. Detecting horizons of symmetric black holes using relative differential invariants
    Authors:
    D. McNutt, E. Schneider
    Academic press:
    Classical and Quantum Gravity (rok: 2024, ), Wydawca: IOPscience
    Status:
    Submitted
  6. Poincare–Einstein approach to Penrose's conformal cyclic cosmology
    Authors:
    Paweł Nurowski
    Academic press:
    Classical and Quantum Gravity (rok: 2021, tom: 38, strony: 145004), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/ac0237 - link to the publication
  7. On Jordan Classes for Vinberg's θ-groups
    Authors:
    Giovanna Carnovale, Francesco Esposito, Andrea Santi
    Academic press:
    Transformation Groups (rok: 2021, ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00031-021-09675-8 - link to the publication
  8. Symmetries of supergeometries related to nonholonomic superdistributions
    Authors:
    Boris Kruglikov, Andrea Santi, Dennis The
    Academic press:
    Transformation Groups (rok: 2022, ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00031-022-09706-y - link to the publication
  9. Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes
    Authors:
    A. R. Gover, J. Kopiński
    Academic press:
    Classical and Quantum Gravity (rok: 2023, tom: 40, strony: 15001), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6382/aca459 - link to the publication
  10. Almost every path structure is not variational
    Authors:
    Boris Kruglikov, Vladimir S. Matveev
    Academic press:
    General Relativity and Gravitation (rok: 2022, tom: 54, strony: 121), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10714-022-03006-2 - link to the publication
  11. Ants and bracket generating distributions in dimensions 5 and 6
    Authors:
    A. Agrachev, P. Nurowski
    Academic press:
    Automatica (rok: 2023, tom: 147, strony: 110693), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.automatica.2022.110693 - link to the publication
  12. Parabolic quasi-contact cone structures with an infinitesimal symmetry
    Authors:
    Omid Makhmali, Katja Sagerschnig
    Academic press:
    Journal für die reine und angewandte Mathematik (rok: 2024, ), Wydawca: De Gruyter
    Status:
    Submitted
  13. Infinitesimal CR symmetries of accidental CR structures
    Authors:
    C. D. Hill, J. Merker, P. Nurowski, Zh. Nie
    Academic press:
    arXiv (rok: 2023, tom: -, strony: -), Wydawca: arXiv
    Status:
    Submitted
  14. Accidental CR structures, submitted to
    Authors:
    C. D. Hill, J. Merker, P. Nurowski, Zh. Nie
    Academic press:
    Transformation groups (rok: 2024, tom: -, strony: -), Wydawca: Springer
    Status:
    Submitted
  15. New spinorial mass-quasilocal angular momentum inequality for initial data with marginally future trapped surface
    Authors:
    Jarosław Kopiński, Alberto Soria, Juan Valiente Kroon
    Academic press:
    Journal of Mathematical Physics (rok: 2024, tom: 65, strony: 42501), Wydawca: AIP Publishing
    Status:
    Published
    DOI:
    10.1063/5.0185930 - link to the publication
  16. Symmetry gaps for higher order ordinary differential equations
    Authors:
    Johnson Allen Kessy, Dennis The
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2022, tom: 56, strony: 126475), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2022.126475 - link to the publication
  17. Stress and Geometry for Isotropic Singularities
    Authors:
    A. Rod Gover, Jarosław Kopiński, Andrew Waldron
    Academic press:
    Physical Review Letters (rok: 2024, tom: -, strony: -), Wydawca: APS
    Status:
    Accepted for publication
    DOI:
    10.19269 - link to the publication
  18. Classification of simply-transitive Levi non-degenerate hypersurfaces in C^3
    Authors:
    Boris Doubrov, Joël Merker, Dennis The
    Academic press:
    International Mathematics Research Notices (rok: 2022, tom: Volume 2022, Issue 19, strony: 15421–15473), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnab147 - link to the publication
  19. Differential invariants of curves in G(2) flag varieties
    Authors:
    Boris Kruglikov, Andreu Llabrés
    Academic press:
    Differential Geometry and its Applications (rok: 2022, tom: 82, strony: 101889), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.difgeo.2022.101889 - link to the publication
  20. Differential invariants of curves in G(2) flag varieties
    Authors:
    Boris Kruglikov, Andreu Llabrés
    Academic press:
    Differential Geometry and its Applications (rok: 2022, tom: 82, strony: 101889), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.difgeo.2022.101889 - link to the publication
  21. Exceptionally simple super-PDE for F(4)
    Authors:
    Andrea Santi, Dennis The
    Academic press:
    Communications in Contemporary Mathematics (rok: 2023, tom: 2350053, strony: 18994), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219199723500530 - link to the publication
  22. On uniqueness of submaximally symmetric parabolic geometries
    Authors:
    Dennis The
    Academic press:
    International Journal of Mathematics (rok: 2024, tom: 2440001, strony: 45682), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0129167X24400019 - link to the publication
  23. A frame based approach to computing symmetries with non-trivial isotropy groups
    Authors:
    David D. McNutt, Alan A. Coley, R. J. van den Hoogen
    Academic press:
    Journal of Mathematical Physics (rok: 2023, tom: 64, strony: 32503), Wydawca: AIP Publishing
    Status:
    Accepted for publication
    DOI:
    10.1063/5.0134596 - link to the publication
  24. On uniqueness of submaximally symmetric vector ordinary differential equations of C-class
    Authors:
    Johnson Allen Kessy, Dennis The
    Academic press:
    Symmetry, Integrability and Geometry: Methods and Applications (rok: 2023, tom: 19 (058), strony: 45686), Wydawca: SIGMA
    Status:
    Published
    DOI:
    10.3842/SIGMA.2023.058 - link to the publication
  25. A characterization of chains in dimension three
    Authors:
    Wojciech Kryński, Omid Makhmali
    Academic press:
    Ann. Sc. Norm. Super. Pisa (rok: 2023, ), Wydawca: arXiv.org
    Status:
    Accepted for publication
    DOI:
    10.48550/arXiv.2303.08807 - link to the publication
  26. Exceptional simple real Lie algebras f4 and e6 via contactifications
    Authors:
    P. Nurowski
    Academic press:
    Journal of the Institute of Mathematics of Jussieu (rok: 2024, tom: -, strony: -), Wydawca: arxiv
    Status:
    Accepted for publication
    DOI:
    10.48550/arXiv.2302.13606 - link to the publication
  27. A Cartan-theoretic classification of multiply-transitive (2,3,5)-distributions
    Authors:
    Dennis The
    Academic press:
    Monatshefte fur Mathematik (rok: 2022, ), Wydawca: Springer
    Status:
    Submitted
  28. Generalized teleparallel de Sitter geometries
    Authors:
    Alan A. Coley, Alexandre Landry, Robert J. van den Hoogen, David D. McNutt
    Academic press:
    The European Physical Journal C (rok: 2023, tom: 83, strony: 977), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1140/epjc/s10052-023-12150-1 - link to the publication
  29. On 3-nondegenerate CR manifolds in dimension 7 (I): the transitive case
    Authors:
    Boris Kruglikov, Andrea Santi
    Academic press:
    Journal für die reine und angewandte Mathematik (rok: 2023, ), Wydawca: Walter de Gruyter
    Status:
    Submitted
  30. Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes
    Authors:
    A. R. Gover, J. Kopiński
    Academic press:
    Classical and Quantum Gravity (rok: 2023, tom: 40, strony: 15001), Wydawca: IOP Publishing
    Status:
    Published
    DOI:
    10.1088/1361-6382/aca459 - link to the publication
  31. Poincare–Einstein approach to Penrose's conformal cyclic cosmology
    Authors:
    Paweł Nurowski
    Academic press:
    Classical and Quantum Gravity (rok: 2021, tom: 38, strony: 145004), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/ac0237 - link to the publication
  32. Killing Tensors In Koutras-Mcintosh Spacetimes
    Authors:
    Boris Kruglikov, Wijnand Steneker
    Academic press:
    Classical and Quantum Gravity (rok: 2022, tom: 39, strony: 22), Wydawca: iopscience
    Status:
    Published
    DOI:
    10.1088/1361-6382/ac9509 - link to the publication
  33. Symmetries of supergeometries related to nonholonomic superdistributions
    Authors:
    Boris Kruglikov, Andrea Santi, Dennis The
    Academic press:
    Transformation Groups (rok: 2022, ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00031-022-09706-y - link to the publication
  34. Classification of simply-transitive Levi non-degenerate hypersurfaces in C^3
    Authors:
    Boris Doubrov, Joël Merker, Dennis The
    Academic press:
    International Mathematics Research Notices (rok: 2022, tom: Volume 2022, Issue 19, strony: 15421–15473), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnab147 - link to the publication
  35. On the conformal transformation between two anisotropic fluid spacetimes
    Authors:
    Jarosław Kopiński
    Academic press:
    Classical and Quantum Gravity (rok: 2021, tom: 38, strony: 135029), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/ac05d6 - link to the publication
  36. Poincare–Einstein approach to Penrose's conformal cyclic cosmology
    Authors:
    Paweł Nurowski
    Academic press:
    Classical and Quantum Gravity (rok: 2021, tom: 38, strony: 145004), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/ac0237 - link to the publication
  37. The CR geometry of the three-segment snake
    Authors:
    Tymon Frelik
    Academic press:
    Comptes Rendus Mathematiques (rok: 2024, tom: -, strony: -), Wydawca: arXiv.org
    Status:
    Submitted
  38. Bianchi type cosmological models in f(T) tele-parallel gravity
    Authors:
    R.J. van den Hoogen, A.A. Coley, D.D. McNutt
    Academic press:
    Journal of Cosmology and Astroparticle Physics (rok: 2023, tom: 10, strony: 42), Wydawca: IOPscience
    Status:
    Published
    DOI:
    10.1088/1475-7516/2023/10/042 - link to the publication
  39. Apparent evidence for Hawking points in the CMB Sky
    Authors:
    D. An, K. Meissner, P. Nurowski, R. Penrose
    Academic press:
    Monthly Notices of the Royal Astronomical Society (rok: 2020, tom: 495, strony: 3403–3408), Wydawca: Oxford Academic
    Status:
    Published
    DOI:
    10.1093/mnras/staa1343 - link to the publication
  40. Zero-curvature subconformal structures and dispersionless integrability in dimension five
    Authors:
    Boris Kruglikov, Omid Makhmali
    Academic press:
    Journal of the London Mathematical Society (rok: 2023, ), Wydawca: Oxford University Press
    Status:
    Submitted
  41. On the conformal transformation between two anisotropic fluid spacetimes
    Authors:
    Jarosław Kopiński
    Academic press:
    Classical and Quantum Gravity (rok: 2021, tom: 38, strony: 135029), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/ac05d6 - link to the publication
  42. Para-Kähler-Einstein 4-manifolds and non-integrable twistor distributions
    Authors:
    Gil Bor, Omid Makhmali, Paweł Nurowski
    Academic press:
    Geometriae Dedicata (rok: 2022, tom: 216, strony: 45), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-021-00665-4 - link to the publication
  43. The Bach equation and the matching of spacetimes in the Conformal Cyclic Cosmology models
    Authors:
    Jarosław Kopiński and Juan A. Valiente Kroon
    Academic press:
    Physical Review D (rok: 2022, tom: 106, strony: 84034), Wydawca: APS
    Status:
    Published
    DOI:
    10.1103/PhysRevD.106.084034 - link to the publication
  44. Symmetry gaps for higher order ordinary differential equations
    Authors:
    Johnson Allen Kessy, Dennis The
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2022, tom: 56, strony: 126475), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2022.126475 - link to the publication
  45. The Bach equation and the matching of spacetimes in the Conformal Cyclic Cosmology models
    Authors:
    Jarosław Kopiński and Juan A. Valiente Kroon
    Academic press:
    Physical Review D
    Status:
    Submitted
  46. On the conformal transformation between two anisotropic fluid spacetimes
    Authors:
    Jarosław Kopiński
    Academic press:
    Classical and Quantum Gravity (rok: 2021, tom: 38, strony: 135029), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1361-6382/ac05d6 - link to the publication
  47. Differential invariants of curves in G(2) flag varieties
    Authors:
    Boris Kruglikov, Andreu Llabrés
    Academic press:
    Differential Geometry and its Applications (rok: 2022, tom: 82, strony: 101889), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.difgeo.2022.101889 - link to the publication
  48. Para-Kähler-Einstein 4-manifolds and non-integrable twistor distributions
    Authors:
    Gil Bor, Omid Makhmali, Paweł Nurowski
    Academic press:
    Geometriae Dedicata (rok: 2022, tom: 216, strony: 45), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-021-00665-4 - link to the publication
  49. A heterotic Kodaira-Spencer theory at one-loop
    Authors:
    Anthony Ashmore, Javier José Murgas Ibarra, David Duncan McNutt, Charles Strickland-Constable, Eirik Eik Svanes, David Tennysone, and Sander Winjec
    Academic press:
    Journal of High Energy Physics (rok: 2023, tom: 10, strony: 130), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/JHEP10(2023)130 - link to the publication
  50. ODEs whose Symmetry Groups are not Fiber- Preserving
    Authors:
    Boris Kruglikov, Eivind Schneider
    Academic press:
    Journal of Lie Theory (rok: 2023, tom: 33, strony: 1045-1085), Wydawca: Heldermann Verlag
    Status:
    Published
    DOI:
    10.48550/arXiv.2202.10331 - link to the publication
  51. Realization of Lie superalgebras G(3) and F(4) as symmetries of supergeometries
    Authors:
    Boris Kruglikov, Andreu Llabres
    Academic press:
    Journal of Algebra (rok: 2022, ), Wydawca: Springer
    Status:
    Submitted
  52. Killing Tensors In Koutras-Mcintosh Spacetimes
    Authors:
    Boris Kruglikov, Wijnand Steneker
    Academic press:
    Classical and Quantum Gravity (rok: 2022, tom: 39, strony: 22), Wydawca: iopscience
    Status:
    Published
    DOI:
    10.1088/1361-6382/ac9509 - link to the publication
  53. Modified conformal extensions
    Authors:
    Matthias Hammerl, Katja Sagerschnig, Josef Šilhan, Vojtěch Žádník
    Academic press:
    Annals of Global Analysis and Geometry (rok: 2023, tom: 64, strony: 18), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10455-023-09918-9 - link to the publication
  54. Homogeneous CR and Para-CR Structures in Dimension 5 and 3
    Authors:
    J. Merker, P. Nurowski
    Academic press:
    The Journal of Geometric Analysis (rok: 2024, tom: 1,43541666666667, strony: -), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-023-01461-0 - link to the publication
  55. A frame based approach to computing symmetries with non-trivial isotropy groups
    Authors:
    David D. McNutt, Alan A. Coley, R. J. van den Hoogen
    Academic press:
    Journal of Mathematical Physics (rok: 2023, tom: 64, strony: 32503), Wydawca: AIP Publishing
    Status:
    Accepted for publication
    DOI:
    10.1063/5.0134596 - link to the publication
  56. Almost every path structure is not variational
    Authors:
    Boris Kruglikov, Vladimir S. Matveev
    Academic press:
    General Relativity and Gravitation (rok: 2022, tom: 54, strony: 121), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10714-022-03006-2 - link to the publication
  57. On Jordan Classes for Vinberg's θ-groups
    Authors:
    Giovanna Carnovale, Francesco Esposito, Andrea Santi
    Academic press:
    Transformation Groups (rok: 2023, tom: 28, strony: 151–183), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00031-021-09675-8 - link to the publication
  58. Symmetries of supergeometries related to nonholonomic superdistributions
    Authors:
    Boris Kruglikov, Andrea Santi, Dennis The
    Academic press:
    Transformation Groups (rok: 2022, ), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00031-022-09706-y - link to the publication
  59. Symmetry gaps for higher order ordinary differential equations
    Authors:
    Johnson Allen Kessy, Dennis The
    Academic press:
    Journal of Mathematical Analysis and Applications (rok: 2022, tom: 56, strony: 126475), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2022.126475 - link to the publication
  60. Para-Kähler-Einstein 4-manifolds and non-integrable twistor distributions
    Authors:
    Gil Bor, Omid Makhmali, Paweł Nurowski
    Academic press:
    Geometriae Dedicata (rok: 2022, tom: 216, strony: 45), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10711-021-00665-4 - link to the publication
  61. Classification of simply-transitive Levi non-degenerate hypersurfaces in C^3
    Authors:
    Boris Doubrov, Joël Merker, Dennis The
    Academic press:
    International Mathematics Research Notices (rok: 2021, ), Wydawca: Oxford University Press
    Status:
    Published
    DOI:
    10.1093/imrn/rnab147 - link to the publication

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