Analysis on manifolds
Time: Thu 2014-01-23 15.15 - 17.00
Location: Room 16, building 5, Kräftriket, Department of mathematics, Stockholm university
Participating: Professor Olga Rossi
This is a PhD level course, suitable also for interested Master students.
The course is an introduction to the calculus of variations and differential equations on manifolds. It covers Lagrangian systems in jet bundles, variational equations and the inverse problem of the calculus of variations, symmetries and conservation laws, Hamiltonian systems, integration methods based on symmetries. We shall be interested also in differential equations with differential constraints (geometric mechanics of non-holonomic systems).