Needle Decompositions in Riemannian Geometry

Needle Decompositions in Riemannian Geometry
Author :
Publisher : American Mathematical Soc.
Total Pages : 90
Release :
ISBN-10 : 9781470425425
ISBN-13 : 1470425424
Rating : 4/5 (25 Downloads)

Book Synopsis Needle Decompositions in Riemannian Geometry by : Bo’az Klartag

Download or read book Needle Decompositions in Riemannian Geometry written by Bo’az Klartag and published by American Mathematical Soc.. This book was released on 2017-09-25 with total page 90 pages. Available in PDF, EPUB and Kindle. Book excerpt: The localization technique from convex geometry is generalized to the setting of Riemannian manifolds whose Ricci curvature is bounded from below. In a nutshell, the author's method is based on the following observation: When the Ricci curvature is non-negative, log-concave measures are obtained when conditioning the Riemannian volume measure with respect to a geodesic foliation that is orthogonal to the level sets of a Lipschitz function. The Monge mass transfer problem plays an important role in the author's analysis.


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