ENGLISH

Sub-riemannian geometry and optimal transport

By Ludovic Rifford (auth.)

Book information

Publisher
Springer International Publishing
Year
2014
ISBN
978-3-319-04804-8, 331904804X, 978-3-319-04803-1
DOI
10.1007/978-3-319-04804-8
Language
english
Format
PDF
Filesize
3 MB (3168782 bytes)
Series
SpringerBriefs in mathematics
Edition
1
Pages
140\146
Time added
2014-06-12 06:00:00
Analysis; Differential Geometry; Optimization; MeaControl

Description

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 notion of distribution at the very beginning to the existence of optimal transport maps for Lipschitz sub-Riemannian structure. The combination of geometry presented from an analytic point of view and of optimal transport, makes the book interesting for a very large community. This set of notes grew from a series of lectures given by the author during a CIMPA school in Beirut, Lebanon.

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