Sub-Riemannian Geometry and Optimal Transport

• Main Author: Rifford, Ludovic (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: SpringerBriefs in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Measure theory.; System theory.; Differential geometry.; Mathematical optimization.; Analysis.; Differential Geometry.; Optimization.; Measure and Integration.; Systems Theory, Control.

The book provides an introduction to sub-Riemannian geometry and optimal transport and presents some of the recent progress in these two fields. The text is completely self-contained: the linear discussion, containing all the proofs of the stated results, leads the reader step by step from the notio...

Table of Contents:

• 1 Sub-Riemannian structures
• 2 Sub-Riemannian geodesics
• 3 Introduction to optimal transport.- Appendix A Ordinary differential equations.- Appendix B Elements of differential calculus
• References.