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101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aSecond order analysis on (P2(M),W2) /$fNicola Gigli
210  1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d2011.
210  4$dİ2011
215   $a1 online resource (154 p.)
225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 216, Number 1018
300   $a"March 2012, Volume 216, Number 1018 (end of volume)."
311   $a0-8218-5309-0 
320   $aIncludes bibliographical references.
327   $a""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""
327   $a""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""
327   $a""7.2. Rigorous result""""7.3. A pointwise result""; ""Chapter 8. Jacobi fields""; ""8.1. The Jacobi equation""; ""8.2. Solutions of the Jacobi equation""; ""8.3. Points before the first conjugate""; ""Appendix A. Density of regular curves""; ""Appendix B. C1 curves""; ""Appendix C. On the definition of exponential map""; ""Appendix D. A weak notion of absolute continuity of vector fields""; ""Bibliography""
410  0$aMemoirs of the American Mathematical Society ;$vVolume 216, Number 1018.
606   $aRiemannian manifolds
606   $aGeometry, Differential
606   $aSpaces of measures
608   $aElectronic books.
615  0$aRiemannian manifolds.
615  0$aGeometry, Differential.
615  0$aSpaces of measures.
676   $a516.3/62
700   $aGigli$b Nicola$0227784
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910480937603321
996   $aSecond order analysis on (P2(M),W2)$92273271
997   $aUNINA