Enden von Räumen mit eigentlichen Transformationsgruppen
Equivalence of control systems with linear systems on Lie groups and homogeneous spaces
The aim of this paper is to prove that a control affine system on a manifold is equivalent by diffeomorphism to a linear system on a Lie group or a homogeneous space if and only if the vector fields of the system are complete and generate a finite dimensional Lie algebra. A vector field on a connected Lie group is linear if its flow is a one parameter group of automorphisms. An affine vector field is obtained by adding a left invariant one. Its projection on a homogeneous space, whenever it exists,...
Ergodic theory, semisimple Lie groups and foliations by manifolds of negative curvature
Examples of Manifolds which are Homogeneous Spaces de Lie Groups of Arbitrarily Large Dimension.