
Needle Decompositions in Riemannian Geometry
Bo'az Klartag(Author)
American Mathematical Society (Publisher)
Will be published approx. on 30. October 2017
Book
Paperback/Softback
77 pages
978-1-4704-2542-5 (ISBN)
Description
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.
More details
Series
Language
English
Place of publication
Providence
United States
Target group
Professional and scholarly
Dimensions
Height: 254 mm
Width: 178 mm
Weight
180 gr
ISBN-13
978-1-4704-2542-5 (9781470425425)
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Schweitzer Classification
Person
Bo'az Klartag, Tel Aviv University, Israel.
Content
Introduction
Regularity of geodesic foliations
Conditioning a measure with respect to a geodesic foliation
The Monge-Kantorovich problem
Some applications
Further research
Appendix: The Feldman-McCann proof of Lemma 2.4.1
Bibliography.
Regularity of geodesic foliations
Conditioning a measure with respect to a geodesic foliation
The Monge-Kantorovich problem
Some applications
Further research
Appendix: The Feldman-McCann proof of Lemma 2.4.1
Bibliography.