Project details


Geometric analysis

Project Identification:GA201/00/0724
Project Period:1/2000 - 1/2002
Investor:link to a new windowCzech Science Foundation
Programme / Project Type:Standard Projects -
MU Faculty/Unit:
Faculty of Science
MU Investigator:Prof. RNDr. Jana Musilová, CSc.
Cooperating Organization:
link to a new windowSilesian University Opava
Responsible Person:Prof. RNDr. Demeter Krupka, DrSc.
Field:BA - General mathematics (B - Physics and mathematics)

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.