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76 (0,116s) •

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
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

Variationalization of distinguished curves in Cartan geometry (8J20DE004)

Cartan geometries provide a uniform description of a large variety of geometric structures, including Riemannian manifolds, conformal, projective and CR-structures manifolds are their geodesics and for conformal manifolds a...

Pure mathematics

  • 2020 - 2022
    • •
  • 152 tis. Kč
    • •
  • 152 tis. Kč
    • •
  • MŠMT
Project

Computer - aided differential geometry and its applications to robotics (GA201/99/0265)

New results are expected in the following areas: 1) Curvature homogeneity and local homogegeity on manifolds with affine connections or Lorentzian metrics of geodecis on homogeneous Riemannian manifolds. 2) New properties of archite...

BA - Obecná matematika

  • 1999 - 2001
    • •
  • 1 608 tis. Kč
    • •
  • 1 188 tis. Kč
    • •
  • GA ČR
Project

Geometric analysis (GA201/98/0853)

The subject of this project is the research in geometric analysis of variational functionals of smooth manifolds, partial differential equations on manifolds, and the geometric structure of general relativity. It is a continuation o...

BA - Obecná matematika

  • 1998 - 1999
    • •
  • 871 tis. Kč
    • •
  • 871 tis. Kč
    • •
  • GA ČR
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