Sub-Riemannian Geometry and Geodesics in Banach Manifolds
Differential Geometry
2016-01-06 v1
Abstract
In this paper, we define and study sub-Riemannian structures on Banach manifolds. We obtain extensions of the Chow-Rashevski theorem for exact controllability, and give conditions for the existence of a Hamiltonian geodesic flow despite the lack of a Pontryagin Maximum Principle in the infinite dimensional setting.
Keywords
Cite
@article{arxiv.1601.00827,
title = {Sub-Riemannian Geometry and Geodesics in Banach Manifolds},
author = {Sylvain Arguillere},
journal= {arXiv preprint arXiv:1601.00827},
year = {2016}
}