The area in wich we plan to work can be described as Lie transformation groups in Riemannian Geometry. The emphasis will be on isometric actions of compact Lie groups on Euclidean spaces and compact symmetric spaces, but more general Riemannian manifolds will also be considered. The goal is to understand the geometry and topology of the orbits of some of the most interesting classes of actions on Riemannian manifolds. The methods will be both geometric and algebraic.
DFG Programme
Priority Programmes