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77 (0,059s) •

Project

Multisymplectic structures (IAA1019204)

Multisymplectic structures (here Ms-structures) represent generalization of symplectic structures. They appeared first in physics (around 1975). More intensive interest in them on part of mathematicians developed only in the second half of t...

BA - Obecná matematika

  • 2002 - 2004
    • •
  • 1 432 tis. Kč
    • •
  • 689 tis. Kč
    • •
  • AV ČR
Project

Hamilton equations in fibred manifolds (GP201/04/P186)

The aim is to enlarge knowledge of the Hamilton theory on fibered maniforlds over n-dimensional bases and to contribute to- the problem of regularization of higher order Lagrangians, - properties of Lepagean (n+1)-forms, - relations between multi...

BA - Obecná matematika

  • 2004 - 2006
    • •
  • 465 tis. Kč
    • •
  • 465 tis. Kč
    • •
  • GA ČR
Project

Investigating manifolds with special structures from topological and geometric-analytical points of view (IAA100190701)

Manifolds with special structures are presently actively investigated by mathematicians and physicists. They are related to outstanding theoretical questions in geometry and appear as models in the string theory. Our aims are: 1. Finding nec...

BA - Obecná matematika

  • 2007 - 2010
    • •
  • 992 tis. Kč
    • •
  • 992 tis. Kč
    • •
  • AV ČR
Project

Special connections and multisymplectic forms (GP201/05/P088)

The study of multisymplektic 3-forms on six and higher dimensional spaces (there is no use in studying lower dimensional cases, since the answers to the interesting questions are trivial there). There is a natural action of the general linear group o...

BA - Obecná matematika

  • 2005 - 2007
    • •
  • 187 tis. Kč
    • •
  • 187 tis. Kč
    • •
  • GA ČR
Project

Geometrical and algebraical aspects of invariant differential operators (GP201/03/P137)

Invariant differential operators on manifolds with prescribed structure of suitablevector bundles on manifolds. Spectral properties of particular operators together complete information about underlying manifold. The basic ...

BA - Obecná matematika

  • 2003 - 2005
    • •
  • 565 tis. Kč
    • •
  • 565 tis. Kč
    • •
  • GA ČR
Project

Singular spaces from special holonomy and foliations (GA18-00496S)

the following topics: the holonomy groups of cones over pseudo-Riemannian manifolds, their relations to Lorentzian manifold admitting imaginary Killing spinors, Sasakian-Einstein and Einstein-Sasakian metrics on cohomogeneity one ...

Pure mathematics

  • 2018 - 2021
    • •
  • 6 898 tis. Kč
    • •
  • 6 160 tis. Kč
    • •
  • GA ČR
Project

Geometry of Riemannian and pseudo-Riemannian spaces and its applications to mechanics and robotics (GA201/96/0227)

New results on explicit classification and structure of Riemannian manifolds whose curvature tensor has conullity (or relative conullity) equal to two. Further research on D'Atri spaces (Riemannian manifolds with volume-preserving l...

BA - Obecná matematika

  • 1996 - 1998
    • •
  • 1 067 tis. Kč
    • •
  • 747 tis. Kč
    • •
  • GA ČR
Project

Geometric structures on fibered manifolds (GA201/05/0523)

manifolds. Further, the following topics will be dealt with: the objects of Weilian type bundles over fibered manifolds, prolongation of connections, fiber product preserving......

BA - Obecná matematika

  • 2005 - 2007
    • •
  • 1 260 tis. Kč
    • •
  • 1 260 tis. Kč
    • •
  • GA ČR
Project

Computer-assisted research in Riemannian and affine geometry (GA201/05/2707)

, conformal and related mappings, transformations and deformations on manifolds or pseudo-Riemannian manifolds with prescribed properties of the curvature, study of homogeneous geodesics on homogeneous Riemannian and pseudo-Riemanni...

BA - Obecná matematika

  • 2005 - 2007
    • •
  • 1 480 tis. Kč
    • •
  • 1 480 tis. Kč
    • •
  • GA ČR
Project

Dirac operators with torsion and special geometric structures (GP14-24642P)

structures on pseudo-Riemannian manifolds and special metrics that they may carry, in particular, Einstein metrics. The structures we have in mind are manifolds with special manifolds, describe their spinor fields and comp...

BA - Obecná matematika

  • 2014 - 2015
    • •
  • 1 658 tis. Kč
    • •
  • 1 658 tis. Kč
    • •
  • GA ČR
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