Prefer a chat interface with context about you and your work?
On a constrained variational problem and the spaces of horizontal paths
In this paper we study geometry associated to an isoholonomy variational problem on a fat bundle.We prove that the energy function satisfies the Palais-Smale condition on the space of horizontal paths.We blow up the singularity of the horizontal loop space.Then we study the closed geodesies.We relate the number of connected …