Sub-Riemannian Geometry and Geodesics in Banach Manifolds

被引：0
|
作者：
Sylvain Arguillère
机构：
[1] Université Claude Bernard Lyon 1,Institut Camille Jordan
来源：
The Journal of Geometric Analysis | 2020年 / 30卷
关键词：
Sub-Riemannian geometry; Banach manifolds; Controllability; Geodesics; Pontryagin maximum principle; 49K15; 53C17; 53C22; 53D25;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we define and study sub-Riemannian structures on Banach manifolds. We obtain extensions of the Chow–Rashevsky 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.
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页码：2897 / 2938
页数：41
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