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.
ISBN: | 9781470425425 |
Publication date: | 30th October 2017 |
Author: | Bo'az Klartag |
Publisher: | American Mathematical Society |
Format: | Paperback |
Pagination: | 77 pages |
Series: | Memoirs of the American Mathematical Society |
Genres: |
Geometry |