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617 (0,14s) •

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<...

BA - Obecná matematika

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

International workshop in Complex and CR Geometry, Partial Differential Equations and Invariant Theory. (ME08096)

mathematicians with specialities in several complex variables, complex and CR geometry, partial differential equations and parabolic geometry. It will be anchored around hand the Czech school with specialities in CR ge...

BA - Obecná matematika

  • 2008 - 2008
    • •
  • 480 tis. Kč
    • •
  • 480 tis. Kč
    • •
  • MŠMT
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 geometr...

BA - Obecná matematika

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

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

theory. 2) Investigate invariant differential operators for parabolic geometries. Apply the Lie theory to the geometry of manifolds with a given parabolic structureThe project aims at bringing together mathematici...

BA - Obecná matematika

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

Geometric structures, differential operators and symmetries (GA19-06357S)

(and related invariant systems of PDEs) compatible with the geometry. An example is the Laplace operator with its conformally invariant version. The conformal geometry belongs to a wide class known as parabolic geometr...

Pure mathematics

  • 2019 - 2022
    • •
  • 6 028 tis. Kč
    • •
  • 5 761 tis. Kč
    • •
  • GA ČR
Project

Geometric structures, invariance and differential equations related to mathematical physics (GA22-00091S)

to a wide class known as parabolic geometries with a far (but uniformly) developed invariant calculus. Another important parabolic structure is the projective geometryGeometry on smooth manifolds can be e...

Pure mathematics

  • 2022 - 2024
    • •
  • 6 629 tis. Kč
    • •
  • 6 559 tis. Kč
    • •
  • GA ČR
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

Special metrics in supergravity and new G-structures (GJ19-14466Y)

description of the special geometry related with the quaternionic real form of the complex special orthogonal Lie group and interactions with parabolic/spin geometries and geometry. The supersymmetry equations im...

Pure mathematics

  • 2019 - 2022
    • •
  • 7 867 tis. Kč
    • •
  • 7 867 tis. Kč
    • •
  • GA ČR
Project

Structure of standard invariant operators for parabolic geometries (GA201/00/P068)

This project develops research of the properties and classification of invariant differential operators on manifolds with parabolic structure. It follows the results of the applicant concerning construction of Bernstein-Gelfand-Gelfand p...

BA - Obecná matematika

  • 2000 - 2002
    • •
  • 747 tis. Kč
    • •
  • 747 tis. Kč
    • •
  • GA ČR
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