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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| Online Access: |
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: |
| 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. |
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| 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 ; |