Project information
Geometric analysis
- Project Identification
- GA201/00/0724
- Project Period
- 1/2000 - 1/2002
- Investor / Pogramme / Project type
-
Czech Science Foundation
- Standard Projects
- MU Faculty or unit
- Faculty of Science
- Cooperating Organization
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Silesian University Opava
- Responsible person prof. RNDr. Demeter Krupka, DrSc.
The aim of the project is basic research in geometric analysis and its applications in mathematical physics, in particular, in variational analysis on smooth manifolds, geometric theory of differential equations and geometric structures in mechanics and general relativity theory. It is a continuation of the projects GACR 201/93/2245, 201/96/0845, and 201/98/0853 of the Grant Agency of the Czech Republic. The project is focused on the following problems: - further development of global variational analys is and the theory of variational equations on manifolds (variational sequences and bicomplexes, constrained systems, variational calculus on Grassmann manifolds) - applications of geometrical methods to problems of mathematical physics (unitary theories of gravity and electromagnetism, conservation laws in field theory, exact solutions of Einstein equations, geometric structure of constrained systems) - geometric structures for ordinary and partial differential equations, geometric methods of solutions.
Publications
Total number of publications: 16
2002
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A cylindrically symmetric solution in Einstein-Maxwell-dilaton gravity
General Relativity and Gravitation, year: 2002, volume: 34, edition: 11
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Constraint Helmholtz conditions
Year: 2002
2001
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Energy of some Gödel type models
Proceedings of the 8th International Conference on Differential Geometry and Its Applications, year: 2001
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Energy of the homogeneous and isotropic models of the universe
WDS' 01- Proceedings of Contributed Papers, year: 2001
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Charged perfect fluid and scalar field coupled to gravity
Czechoslovak Journal of Physics, year: 2001, volume: 51, edition: 11
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On spacetimes with 3-parameter isometry group in string-inspired theory of gravity
Proceeding of 8th International Conference on Differential Geometry and Its Applications, year: 2001
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On Superpotentials in General Relativity
Reports on Mathematical Physics, year: 2001, volume: 48, edition: 1/2
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Otázky nad energií
New trends in physics, volume 1, year: 2001
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Recent results in variational sequence theory
Proc. Colloq. Diff. Geometry, year: 2001
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Representation of the variational sequence in field theory
Proc. Colloq. Diff. Geometry, year: 2001