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593 (0,133s) •

Project

Geometry of generalized geodesics (GP201/06/P379)

The essence of the research project presented in this proposal is a further study of distinguished curves in Cartan geometries---parabolic geometries, in particular---their properties, and relations among Cartan

BA - Obecná matematika

  • 2006 - 2008
    • •
  • 471 tis. Kč
    • •
  • 471 tis. Kč
    • •
  • GA ČR
Project

Cartan supergeometries and Higher Cartan geometries (GA24-10887S)

Mathematical Physics. Cartan geometry and the related tractor calculi belong to fundamental geometry, topics very under-developed so far. Joining forces of top-level researchers in differential geometry, mathemati...

Pure mathematics

  • 2024 - 2026
    • •
  • 13 560 tis. Kč
    • •
  • 13 535 tis. Kč
    • •
  • GA ČR
Project

Variationalization of distinguished curves in Cartan geometry (8J20DE004)

Cartan geometries provide a uniform description of a large variety of geometric curves (or a subfamily of them) of various Cartan geometries are variational, and if there is an explicit formula for the Lagrange fun...

Pure mathematics

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

Algebraic methods in geometry and topology (GA201/08/0397)

The aim of the project is to bring together mathematicians working in diverse but closely related fields (algebra, topology, differential geometry), emphasizing the synthesis that takes place in contemporary mathematics. More concretely, we ...

BA - Obecná matematika

  • 2008 - 2012
    • •
  • 6 836 tis. Kč
    • •
  • 6 836 tis. Kč
    • •
  • GA ČR
Project

Invariant differential operators and their applications in geometric modelling and control theory (GA17-01171S)

the exploitation of the Clifford algebra technique. At the same time, the geometries in question are instances of the Cartan geometries, even parabolic geometries in many......

BA - Obecná matematika

  • 2017 - 2019
    • •
  • 6 388 tis. Kč
    • •
  • 5 259 tis. Kč
    • •
  • GA ČR
Project

Algebraic methods in topology and geometry (GA201/05/2117)

but closely related fields (algebra, topology, differential geometry), thus reflecting, properties of the moduli space of solutions of the Mauer-Cartan equation and deformation theory. 2) Investigate invariant differential operator...

BA - Obecná matematika

  • 2005 - 2007
    • •
  • 2 874 tis. Kč
    • •
  • 2 874 tis. Kč
    • •
  • GA ČR
Project

Symmetry and invariance in analysis, geometric modelling and control theory (GA20-11473S)

algebras, Cartan geometries, and the recently developed invariant calculi...

Pure mathematics

  • 2020 - 2023
    • •
  • 8 136 tis. Kč
    • •
  • 8 136 tis. Kč
    • •
  • GA ČR
Project

Invariant differential operators and ambient metric construction (GP201/06/P267)

geometry and the sequences of operators on the ambient space that induce them, namelyaconstruction of parts of singular BGG sequences for some parabolic geometries from regular BGG sequences for another geometries.......

BA - Obecná matematika

  • 2006 - 2008
    • •
  • 606 tis. Kč
    • •
  • 606 tis. Kč
    • •
  • GA ČR
Project

Symmetric and complete parabolic geometries (GPP201/11/P202)

We generalize concept of symmetric spaces for parabolic geometries. Analogously geometries, parabolic contact structures in particular. Motivated by earlier results, we study torsion-free |1|-graded geometries with paralel ...

BA - Obecná matematika

  • 2011 - 2013
    • •
  • 1 242 tis. Kč
    • •
  • 1 242 tis. Kč
    • •
  • GA ČR
Project

Algebraic aspects of invariant differential operators (GP201/06/P223)

One of the aims of this project is a description and generalization of some differential operators which were used in theoretical and mathematical physics in realm of Cartan geometries. Foremost, we shall be dealing with metaplectic...

BA - Obecná matematika

  • 2006 - 2008
    • •
  • 606 tis. Kč
    • •
  • 606 tis. Kč
    • •
  • GA ČR
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