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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 |
MARC
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| 001 | EBOOKCENTRAL_on1005658126 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
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| 019 | |a 1262682736 | ||
| 020 | |a 9781470441272 |q (online) | ||
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| 020 | |a 1470425424 |q (alk. paper) | ||
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| 049 | |a UAMI | ||
| 100 | 1 | |a Klartag, Bo'az, |e author. | |
| 245 | 1 | 0 | |a Needle decompositions in Riemannian geometry / |c Bo'az Klartag. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c 2017. | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (v, 77 pages) : |b illustrations | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |x 0065-9266 ; |v volume 249, number 1180 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "Volume 249, Number 1180 (first of 8 numbers), September 2017." | ||
| 504 | |a Includes bibliographical references (pages 75-77). | ||
| 520 | |a 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. | ||
| 505 | 0 | |a 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. | |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Curvature. | |
| 650 | 0 | |a Decomposition (Mathematics) | |
| 650 | 0 | |a Geometry, Riemannian. | |
| 650 | 6 | |a Courbure. | |
| 650 | 6 | |a Décomposition (Mathématiques) | |
| 650 | 6 | |a Géométrie de Riemann. | |
| 650 | 7 | |a Curvature |2 fast | |
| 650 | 7 | |a Decomposition (Mathematics) |2 fast | |
| 650 | 7 | |a Geometry, Riemannian |2 fast | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Needle decompositions in Riemannian geometry (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGWF3dQ3QH3mfk7xP9q6Dq |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Klartag, Bo'az. |t Needle decompositions in Riemannian geometry. |d Providence, Rhode Island : American Mathematical Society, [2017] |z 9781470425425 |w (DLC) 2017040394 |w (OCoLC)990123949 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1180. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5110280 |z Texto completo |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445109 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL5110280 | ||
| 994 | |a 92 |b IZTAP | ||