Sub-Riemannian geometry and optimal transport

By:

Rifford, Ludovic

Publication details: Springer, 2014. New York:Description: vii,137p. 22 cmISBN:

9783319048031

Subject(s):

DDC classification:

516 RIF

Summary: 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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Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	516 RIF (Browse shelf(Opens below))	Available		026425

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Previous	516 HOL Royal road to algebraic geometry	516 KAP Connections: the geometric bridge between art and science	516 KIC Fuchsian reduction: applications to geometry, cosmology and mathematical physics	516 RIF Sub-Riemannian geometry and optimal transport	516 THU What's next?: the mathematical legacy of William P. Thurston	516.08 ZON Cube-a window to convex and discrete geometry	516.1 BER Beautiful symmetry: a coloring book about math	Next

Including Index

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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