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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Geometry of Monge distributions

2013/09/B/ST1/01799

Keywords:

distributions prolongations Tanaka theory parabolic geometries G-structures geometric control theory subriemannian geometry

Descriptors:

  • ST1_5: Geometry
  • ST1_7: Lie groups, Lie algebras
  • ST1_10: Ordinary differential equations and dynamical systems

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 PAN

woj. mazowieckie

Other projects carried out by the institution 

Principal investigator (from the host institution):

prof. Paweł Nurowski 

Number of co-investigators in the project: 2

Call: OPUS 5 - announced on 2013-03-15

Amount awarded: 298 400 PLN

Project start date (Y-m-d): 2014-02-20

Project end date (Y-m-d): 2016-06-19

Project duration:: 28 months (the same as in the proposal)

Project status: Project settled

Equipment purchased [PL]

  1. Dwa laptopy, kazdy z 16GB RAM, 64-bit quad-core procesorem i kartą graficzna 2GB (20 000 PLN)
  2. Najnowsza wersja programu Wolfram Mathematica, Home Edition (2 000 PLN)
  3. Najnowsza wersja programu Maple, Academic, Single-user version (6 000 PLN)
  4. Szybki skaner dokumentowy o prędkości rzędu 60 stron/min w trybie simplex.

Information in the final report

  • Publication in academic press/journals (10)
  1. Completely exceptional 2nd order PDEs via conformal geometry and BGG resolution
    Authors:
    J Gutt, G Manno, G Moreno
    Academic press:
    Journal of Geometry and Physics (rok: 2017, tom: 113, strony: 86-103), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2016.04.021 - link to the publication
  2. Non-Rigid Parabolic Geometries of Monge Type
    Authors:
    I. Anderson, Zh. Nie, P. Nurowski
    Academic press:
    Advances in Mathematics (rok: 2015, tom: 277, strony: 24-55), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.aim.2015.01.021 - link to the publication
  3. Homogeneous models of C3 Monge geometries
    Authors:
    J Gutt
    Academic press:
    Differential geometry and its Applications , Wydawca: Elsevier
    Status:
    Submitted
    DOI:
    brak - link to the publication
  4. A Goldberg-Sachs theorem in dimension three
    Authors:
    P. Nurowski, A. Taghavi-Chabert
    Academic press:
    Class. Q. Grav. (rok: 2015, tom: 32, strony: 115009), Wydawca: IOP Science
    Status:
    Published
    DOI:
    10.1088/0264-9381/32/11/115009 - link to the publication
  5. Generalised Ricci Solitons
    Authors:
    P. Nurowski, M. Randall
    Academic press:
    J. Geom. Anal. (rok: 2016, tom: 26(2), strony: 1280-1345), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s12220-015-9592-8 - link to the publication
  6. Sp(3,R) Monge geometries in dimension 8
    Authors:
    I Anderson, P Nurowski
    Academic press:
    Differential Geometry and its Applications (rok: 2017, tom: 53, strony: 20090), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.difgeo.2017.04.006 - link to the publication
  7. New relations between G_2-geometries in dimensions 5 and 7
    Authors:
    Thomas Leistner, Pawel Nurowski, Katja Sagerschnig
    Academic press:
    International Journal of Mathematics (rok: 2017, tom: 28, strony: 1750094 [46pages]), Wydawca: World Scientific
    Status:
    Published
    DOI:
    10.1142/S0129167X1750094X - link to the publication
  8. Symmetric (2,3,5) distributions, an interesting ODE of 7th order and Plebanski metric
    Authors:
    D An, P Nurowski
    Academic press:
    Journal Geometry and Physics (rok: 2018, tom: 126, strony: 93-100), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2018.01.009 - link to the publication
  9. Explicit ambient metrics and holonomy
    Authors:
    I. Anderson, Th. Leistner, P. Nurowski
    Academic press:
    Journal of Differential Geometry , Wydawca: International Press
    Status:
    Accepted for publication
    DOI:
    brak - link to the publication
  10. The dancing metric, G2-symmetry and projective rolling
    Authors:
    G Bor, L Hernandes Lamoneda, P Nurowski
    Academic press:
    Transactions of the AMS (rok: 2018, tom: 370, strony: 4433-4481), Wydawca: AMS
    Status:
    Published
    DOI:
    10.1090/tran/7277 - link to the publication

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