Ostravská univerzita
Dvořákova 7
701 03 Ostrava
Czech Republic

e-mail: studiumzavináčosutečkacz, infozavináčosutečkacz, podatelnazavináčosutečkacz

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Detail projektu

Variations, geometry and physics
Project Identification: 14-02476S
Beginning of the project: 1.1.2014
Completion of the project: 31.12.2016
OU Faculty/Unit: Faculty of Science
OU Investigator:M.A. David John Saunders, PhD.

This project is concerned with basic research in the calculus of variations and differential geometry, focusing on the following areas: (1) Geometric and variational structures on manifolds and applications in physics: Lagrangian and Hamiltonian systems in jet bundles, nonholonomic constraints; homogeneous variational problems; the inverse problem of the calculus of variations and the geometry of variational equations, and the spectral behaviour of Schrödinger operators where the underlying spaces have nontrivial geometry. (2) General geometric structures and natural bundles: Weil bundles and general prolongation structures, jets and contact elements, Cartan geometries and Lie algebroids, natural and gauge-natural operators, the pseudo-Riemannian geometry of natural bundles, homogeneous geodesics, and holonomy in Lorentzian manifolds. International cooperation will play an important role. New, important results will be obtained, which will be published in respected international mathematical journals and communicated at major international conferences.
Message Owner: Ing. Alena Cibulcová | Updated: 29. 08. 2014

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phone: +420 597 091 111, +420 553 461 111
e-mail: studiumzavináčosutečkacz, infozavináčosutečkacz, podatelnazavináčosutečkacz

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