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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 |
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| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, Rhode Island :
American Mathematical Society,
2017.
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| Colección: | Memoirs of the American Mathematical Society ;
no. 1180. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Notas: | "Volume 249, Number 1180 (first of 8 numbers), September 2017." |
| Descripción Física: | 1 online resource (v, 77 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 75-77). |
| ISBN: | 9781470441272 1470441276 1470425424 9781470425425 |
| ISSN: | 0065-9266 ; |