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Needle decompositions in Riemannian geometry /
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1180. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.