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3 886 (0,09s) •

Project

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

on certain functional bundles, relations to the geometry of variational calculus, natural bundles over fibered manifolds, prolongation of connections, fiber product preserving bundle functors of the jet type, exch...

BA - Obecná matematika

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

Variations, geometry and physics (GA14-02476S)

, Cartan geometries and Lie algebroids, natural and gauge-natural operators, the pseudo-Riemannian geometry of natural bundles, homogeneous geodesics, and holonomy in Lorentzian in jet bundles, no...

BA - Obecná matematika

  • 2014 - 2016
    • •
  • 8 956 tis. Kč
    • •
  • 8 956 tis. Kč
    • •
  • GA ČR
Project

Global Analysis and the Geometry of Fibred Spaces (GA201/09/0981)

structures on manifolds,- differential equations on jet bundles, including differential constraints,- differential geometry of fibred spaces and its applications,- natural and gauge-natural bundles and op...

BA - Obecná matematika

  • 2009 - 2013
    • •
  • 8 559 tis. Kč
    • •
  • 8 559 tis. Kč
    • •
  • GA ČR
Project

Some classification problems on Weil bundles (GA201/99/D007)

natural operators on some spaces related to Weil bundles. Roughly speaking, a Weil bundle is a geometrical structure of "generalized" higher order velocities. The main result of the theory of Weil bundles is their...

BA - Obecná matematika

  • 1999 - 2001
    • •
  • 130 tis. Kč
    • •
  • 130 tis. Kč
    • •
  • GA ČR
Project

Geometry of liber bundles (GA201/96/0079)

physics, a book on the geometry of bundles of smooth maps will be written. Lthe book will also clarify the role of Weil bundles in this area. Natural operators on some GThe project is devoted to fundamental research in geo...

BA - Obecná matematika

  • 1996 - 1998
    • •
  • 790 tis. Kč
    • •
  • 790 tis. Kč
    • •
  • GA ČR
Project

Bundles of higher order velocities (GA201/99/P065)

The research in differential geometry with respect to applications in theoretical mechanics. The study of bundles of k-dimensional velocities of order r, including the non-holonomic case, under the using of the variational theory, theory of ...

BA - Obecná matematika

  • 1999 - 2000
    • •
  • 139 tis. Kč
    • •
  • 139 tis. Kč
    • •
  • GA ČR
Project

Symmetries in string theory and conformal field theory (GA17-22899S)

for the description of quantum gravity and the fundamental interactions of Nature. Despite its successes, our current lack of understanding of the gauge symmetry principle. Various arguments suggest that string theory possesses...

BE - Teoretická fyzika

  • 2017 - 2019
    • •
  • 9 325 tis. Kč
    • •
  • 8 701 tis. Kč
    • •
  • GA ČR
Project

Differential geometry of higher order (GA201/99/0296)

the monograph by I. Koláo, P. W. Michor and J. Slovák 'Natural operations in Differential. The theory of connections on certain higher order bundles will be developed from such viewpoints. Futher, the geometry of jet bundles

BA - Obecná matematika

  • 1999 - 2001
    • •
  • 1 081 tis. Kč
    • •
  • 990 tis. Kč
    • •
  • GA ČR
Project

Prolongation of geometric structures (GA201/02/0225)

to the torsions of connections on various natural bundles of higher order and to connections on the ideaof bundle functor on a category over manifolds. The fundamental role of this concept was clarified in the monograph by...

BA - Obecná matematika

  • 2002 - 2004
    • •
  • 2 031 tis. Kč
    • •
  • 990 tis. Kč
    • •
  • GA ČR
Project

Structures on principal prolongations (GP201/08/P230)

as well as the description of gauge natural operators transforming connections (e.g as the description of natural operators transforming first order general connections into higher. The main aim of this project is the desc...

BA - Obecná matematika

  • 2008 - 2010
    • •
  • 460 tis. Kč
    • •
  • 460 tis. Kč
    • •
  • GA ČR
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