Projects funded by the NCN


Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Metric contact manifolds and related fibrations

2018/31/B/ST1/00053

Keywords:

K-contact structure orbifold orbifold fundamental group Smale-Barden manifold fat bundle

Descriptors:

  • ST1_5: Geometry
  • ST1_7: Lie groups, Lie algebras

Panel:

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

Host institution :

Uniwersytet Warmińsko-Mazurski w Olsztynie, Wydział Matematyki i Informatyki

woj. warmińsko-mazurskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Aleksy Tralle 

Number of co-investigators in the project: 1

Call: OPUS 16 - announced on 2018-09-14

Amount awarded: 172 200 PLN

Project start date (Y-m-d): 2019-07-11

Project end date (Y-m-d): 2023-07-10

Project duration:: 48 months (the same as in the proposal)

Project status: Project settled

Project description

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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 (8)
  • Book publications / chapters in book publications (1)
  1. On locally homogeneous pseudo-Riemannian compact Einstein manifolds
    Authors:
    M. Bocheński, A. Tralle
    Academic press:
    Journal of Geometry and Physics (rok: 2020, tom: 155, strony: art. no. 103778), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2020.103778 - link to the publication
  2. On the classification of Smale-Barden manifolds with Sasakian structures
    Authors:
    V. Munoz, A. Tralle
    Academic press:
    Communications in Contemporary Mathematics (rok: 2022, tom: 24, strony: art. no. 2150077), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0219199721500772 - link to the publication
  3. Non-virtually abelian discontinuous group actions vs. proper SL(2,R)-actions on homogeneous spaces
    Authors:
    M. Bocheński, W. A. De Graaf, P. Jastrzębski, A. Tralle
    Academic press:
    Experimental Mathematics , Wydawca: Taylor and Francis
    Status:
    Submitted
  4. Negative Sasakian structures on simply-connected 5-manifolds
    Authors:
    V. Munoz, M. Schuett, A. Tralle
    Academic press:
    Mathematical Research Letters (rok: 2022, tom: 29, strony: 1825-1855), Wydawca: International Press
    Status:
    Published
  5. Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds
    Authors:
    A. Canas, V. Munoz, M. Schuett, A. Tralle
    Academic press:
    Revista Matematica Iberoamericana (rok: 2022, tom: 38, strony: 1029-1050), Wydawca: Universidad Autonoma de Madrid
    Status:
    Published
    DOI:
    10.4171/RMI/1335 - link to the publication
  6. Standard Clifford-Klein forms and Lie algebra decompositions
    Authors:
    M. Bocheński, A. Tralle
    Academic press:
    Transformation Groups , Wydawca: Springer
    Status:
    Submitted
  7. Homogeneous spaces of real simple Lie groups with proper actions of non virtually abelian discrete subgroups: a computational approach
    Authors:
    M. Bocheński, P. Jastrzębski, A. Tralle
    Academic press:
    Journal of Symbolic Computation (rok: 2022, tom: 113, strony: 171-180), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jsc.2022.04.004 - link to the publication
  8. Stretched non-positive Weyl connections on solvable Lie groups
    Authors:
    M. Bocheński, P. Jastrzębski, A. Tralle
    Academic press:
    Annali di Matematica Pura ed Applicata (rok: 2023, tom: on-line, strony: 19 pp), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s10231-023-01409-9 - link to the publication
  1. Some topics in Sasakian geometry, a survey
    Authors:
    A. Tralle
    Book:
    Differential Geometric structures and applications , Wydawca: Springer Proceedings in Mathematics and Statistics
    Status:
    Accepted for publication