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...
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Full Text (via ProQuest) |
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| Main Author: | |
| Format: | eBook |
| Language: | English |
| Published: |
Providence, Rhode Island :
American Mathematical Society,
2017.
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| Series: | Memoirs of the American Mathematical Society ;
no. 1180. |
| Subjects: |
Table of Contents:
- 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.