Geometry of Pfaffian systems and applications to differential equations and control theory

2011/03/D/ST1/03902

Keywords

Descriptors

  • ST1_5: Geometria
  • ST1_17: Teoria sterowania i optymalizacja

Panel

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

Host institution

Instytut Matematyczny Polskiej Akademii Nauk

Voivodeship: mazowieckie

Other projects carried out by the institution »

Principal investigator (from the host institution)

dr Wojciech Kryński

Number of co-investigators in the project: 1

Call

SONATA 2 – announced on 2011-09-15

Amount awarded
104 600 PLN
Project start date
2012-08-29
Project end date
2015-08-28
Project duration
36 months (the same as in the proposal)
Project status
Project settled

Equipment purchased [PL]

  1. Komputer, DELL Inspiron 5423, Intel Core i7, 1.9 GHz + Windows 7. Cost: 6 000 PLN
  2. Program MAPLE 16. Cost: 5 000 PLN

Information in the final report

Publication in academic press/journals (6)

  1. Web and the Plebański equation

    Authors:
    W. Kryński
    Academic press:
    Mathematical Proceedings of the Cambridge Philosophical Society (year: 2016, volume: -, pages: 46036), Publisher: Cambridge University Press
    Status:
    Published
    DOI:
    10.1017/S0305004116000463 – link to the publication
  2. Paraconformal structures, ordinary differential equations and totally geodesic manifolds

    Authors:
    Wojciech Kryński
    Academic press:
    Journal of Geometry and Physics (year: 2016, volume: 103, pages: 46041), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2016.01.003 – link to the publication
  3. Webs and projective structures on a plane

    Authors:
    W. Kryński
    Academic press:
    Differential Geometry and Its Applications (year: 2014, volume: 37, pages: 133-140), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.difgeo.2014.10.004 – link to the publication
  4. Point invariants of third-order ODEs and hyper-CR Einstein-Weyl structures

    Authors:
    M. Dunajski, W. Kryński
    Academic press:
    Journal of Geometry and Physics (year: 2014, volume: 86, pages: 296-302), Publisher: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.geomphys.2014.08.012 – link to the publication
  5. Invariants of sub-pseudo-Riemannian structures and Einstein-Weyl geometry

    Authors:
    M. Grochowski, W. Kryński
    Status:
    Accepted for publication
  6. On contact sub-pseudo-Riemannian isometries

    Authors:
    M. Grochowski, W. Kryński
    Status:
    Accepted for publication

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Graphic design and implementation: Jakub Piotrowski