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Nonsmooth differential geometry : an approach tailored for spaces with Ricci curvature bounded from below /
"We discuss in which sense general metric measure spaces possess a first order differential structure. Building on this, we then see that on spaces with Ricci curvature bounded from below a second order calculus can be developed, permitting to define Hessian, covariant/exterior derivatives and...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence, RI :
American Mathematical Society,
[2018]
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 1196. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 001 | EBOOKCENTRAL_on1019875179 | ||
| 003 | OCoLC | ||
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| 020 | |z 9781470427658 |q (alk. paper) | ||
| 020 | |z 1470427656 |q (alk. paper) | ||
| 035 | |a (OCoLC)1019875179 |z (OCoLC)1262690948 | ||
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| 082 | 0 | 4 | |a 516.3/6 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Gigli, Nicola, |e author. | |
| 245 | 1 | 0 | |a Nonsmooth differential geometry : |b an approach tailored for spaces with Ricci curvature bounded from below / |c Nicola Gigli. |
| 264 | 1 | |a Providence, RI : |b American Mathematical Society, |c [2018] | |
| 264 | 4 | |c ©2017 | |
| 300 | |a 1 online resource (v, 161 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 251, number 1196 | |
| 588 | 0 | |a Print version record. | |
| 500 | |a "January 2018, volume 251, number 1196 (third of 6 numbers)." | ||
| 504 | |a Includes bibliographical references (pages 159-161). | ||
| 520 | 3 | |a "We discuss in which sense general metric measure spaces possess a first order differential structure. Building on this, we then see that on spaces with Ricci curvature bounded from below a second order calculus can be developed, permitting to define Hessian, covariant/exterior derivatives and Ricci curvature."--Page v | |
| 505 | 0 | 0 | |6 880-01 |t Introduction |t Chapter 1. The machinery of $L^p(\mm)$-normed modules |t Chapter 2. First order differential structure of general metric measure spaces |t Chapter 3. Second order differential structureof $\RCD (K, \infty)$ spaces. |
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Geometry, Differential. | |
| 650 | 0 | |a Nonsmooth optimization. | |
| 650 | 0 | |a Spaces of constant curvature. | |
| 650 | 6 | |a Géométrie différentielle. | |
| 650 | 6 | |a Optimisation non différentiable. | |
| 650 | 6 | |a Espaces à courbure constante. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x General. |2 bisacsh | |
| 650 | 7 | |a Geometría diferencial |2 embne | |
| 650 | 7 | |a Optimización matemática |2 embne | |
| 650 | 7 | |a Geometry, Differential |2 fast | |
| 650 | 7 | |a Nonsmooth optimization |2 fast | |
| 650 | 7 | |a Spaces of constant curvature |2 fast | |
| 710 | 2 | |a American Mathematical Society, |e publisher. | |
| 758 | |i has work: |a Nonsmooth differential geometry (Text) |1 https://id.oclc.org/worldcat/entity/E39PCFBj6Jj3cCtCRHWkTfhH3P |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Gigli, Nicola. |t Nonsmooth differential geometry. |d Providence, RI : American Mathematical Society, 2018 |z 9781470427658 |w (DLC) 2017054243 |w (OCoLC)1019854671 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 1196. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=5346257 |z Texto completo |
| 880 | 8 | |6 505-01/(S |a 3.3.3.1. Some auxiliary Sobolev spaces3.3.3.2. Statement and proofs of calculus rules; 3.4. Covariant derivative; 3.4.1. The Sobolev space ^{1,2}_{ }(\X); 3.4.2. Calculus rules; 3.4.3. Second order differentiation formula; 3.4.4. Connection Laplacian and heat flow of vector fields; 3.5. Exterior derivative; 3.5.1. The Sobolev space ^{1,2}_{}(Λ^{ } *\X); 3.5.2. de Rham cohomology and Hodge theorem; 3.6. Ricci curvature; Bibliography; Back Cover. | |
| 938 | |a Askews and Holts Library Services |b ASKH |n AH37445143 | ||
| 938 | |a EBL - Ebook Library |b EBLB |n EBL5346257 | ||
| 938 | |a YBP Library Services |b YANK |n 15214459 | ||
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