Mechanical Systems with Symmetry on Homogeneous Spaces
Mechanical Systems with Symmetry on Homogeneous Spaces
The geodesic flow on a homogeneous space with an invariant metric can be naturally considered within the framework of Smale's mechanical systems with symmetry.In this way we have at our disposal the whole method of Smale for studying such systems.We prove that certain sets 2', 2, Im, o and Re …