Skip to main content Accessibility help
×
Home
  • Print publication year: 2019
  • Online publication date: October 2019

3 - Sub-Riemannian Structures

Summary

In this chapter we introduce the fundamental object of this book: the sub-Riemannian distance. We prove its finiteness and continuity (Rashevskii–Chow theorem) and the existence of length-minimizers. We then introduce Pontryagin extremals, which are curves in the cotangent space satisfying a first-order necessary condition of length-minimality.

Related content

Powered by UNSILO