Second order analysis on (P2(M),W2) / / Nicola Gigli
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| Autore: |
Gigli Nicola
|
| Titolo: |
Second order analysis on (P2(M),W2) / / Nicola Gigli
|
| Pubblicazione: | Providence, Rhode Island : , : American Mathematical Society, , 2011 |
| ©2011 | |
| Descrizione fisica: | 1 online resource (154 p.) |
| Disciplina: | 516.3/62 |
| Soggetto topico: | Riemannian manifolds |
| Geometry, Differential | |
| Spaces of measures | |
| Soggetto genere / forma: | Electronic books. |
| Note generali: | "March 2012, Volume 216, Number 1018 (end of volume)." |
| Nota di bibliografia: | Includes bibliographical references. |
| Nota di contenuto: | ""Contents""; ""Introduction""; ""Chapter 1. Preliminaries and notation""; ""1.1. Riemannian manifolds""; ""1.2. The distance W2""; ""1.3. Kantorovich's dual problem""; ""1.4. First order differentiable structure""; ""Chapter 2. Regular curves""; ""2.1. Cauchy Lipschitz theory on Riemannian manifolds""; ""2.2. Definition and first properties of regular curves""; ""2.3. On the regularity of geodesics""; ""Chapter 3. Absolutely continuous vector fields""; ""3.1. Definition and first properties""; ""3.2. Approximation of absolutely continuous vector fields""; ""Chapter 4. Parallel transport"" |
| ""4.1. The case of an embedded Riemannian manifold""""4.2. Parallel transport along regular curves""; ""4.3. Forward and backward parallel transport""; ""4.4. On the question of stability and the continuity of P ""; ""Chapter 5. Covariant derivative""; ""5.1. Levi-Civita connection""; ""5.2. The tensor N""; ""5.3. Calculus of derivatives""; ""5.4. Smoothness of time dependent operators""; ""Chapter 6. Curvature""; ""6.1. The curvature tensor""; ""6.2. Related notions of curvature""; ""Chapter 7. Differentiability of the exponential map""; ""7.1. Introduction to the problem"" | |
| ""7.2. Rigorous result""""7.3. A pointwise result""; ""Chapter 8. Jacobi fields""; ""8.1. The Jacobi equation""; ""8.2. Solutions of the Jacobi equation""; ""8.3. Points before the first conjugate""; ""Appendix A. Density of regular curves""; ""Appendix B. C1 curves""; ""Appendix C. On the definition of exponential map""; ""Appendix D. A weak notion of absolute continuity of vector fields""; ""Bibliography"" | |
| Titolo autorizzato: | Second order analysis on (P2(M),W2) |
| ISBN: | 0-8218-8529-4 |
| Formato: | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione: | Inglese |
| Record Nr.: | 9910480937603321 |
| Lo trovi qui: | Univ. Federico II |
| Opac: | Controlla la disponibilità qui |
Serie:
Memoirs of the American Mathematical Society ; ; Volume 216, Number 1018.