Needle decompositions in Riemannian geometry / Bo'az Klartag.

The localization technique from convex geometry is generalized to the setting of Riemannian manifolds whose Ricci curvature is bounded from below. In a nutshell, our method is based on the following observation: When the Ricci curvature is nonnegative, log-concave measures are obtained when conditio...

Full description

Saved in:
Bibliographic Details
Online Access: Full Text (via ProQuest)
Main Author: Klartag, Bo'az (Author)
Format: eBook
Language:English
Published: Providence, Rhode Island : American Mathematical Society, 2017.
Series:Memoirs of the American Mathematical Society ; no. 1180.
Subjects:
Description
Summary:The localization technique from convex geometry is generalized to the setting of Riemannian manifolds whose Ricci curvature is bounded from below. In a nutshell, our method is based on the following observation: When the Ricci curvature is nonnegative, 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 our analysis.
Item Description:"Volume 249, Number 1180 (first of 8 numbers), September 2017."
Physical Description:1 online resource (v, 77 pages) : illustrations.
Bibliography:Includes bibliographical references (pages 75-77)
ISBN:9781470441272
1470441276
ISSN:0065-9266 ;