Project details


Global analysis and the geometry of fibred spaces

Project Identification:GA201/09/0981
Project Period:1/2009 - 12/2013
Investor:link to a new windowCzech Science Foundation
Programme / Project Type:Standard Projects -
MU Faculty/Unit:
Faculty of Science
MU Investigator:Prof. RNDr. Josef Janyška, DSc.
Cooperating Organization:
link to a new windowPalacký University, Olomouc
Responsible Person:Prof. RNDr. Olga Rossi, DrSc.
link to a new windowBrno University of Technology
Responsible Person:Prof. RNDr. Miroslav Doupovec, CSc.
Field:BA - General mathematics (B - Physics and mathematics)
Keywords:fibred spaces; Weil bundles; Lagrangian structures; Hamiltonian structures; variational sequences an

This project covers the following research topics in global analysis and the geometry of fibred spaces:- variational analysis and the geometry of Lagrange 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 operators, natural variational principles, differential invariants,- geometric and variational structures in higher order mechanics and field theory.The research team involved in this project includes recognized leading experts in the fields above, as well as young researchers and PhD students. The aim of the project is to contribute to developments in the broad area of global analysis, differential geometry and the applications of geometric and variational methods in mathematical physics. One of the aims is also to integrate top research in the Czech Republic in global analysis and the geometry of fibred spaces. Main outputs will be