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Gigli, Nicola.

Second order analysis on (P2(M),W2) / [electronic resource] Nicola Gigli. - Providence, R.I. : American Mathematical Society, c2011. - 1 online resource (xii, 154 p. : ill.) - Memoirs of the American Mathematical Society, v. 1018 0065-9266 (print); 1947-6221 (online); .

"March 2012, volume 216, number 1018 (end of volume)."

Includes bibliographical references (p. 153-154).

Introduction Chapter 1. Preliminaries and notation Chapter 2. Regular curves Chapter 3. Absolutely continuous vector fields Chapter 4. Parallel transport Chapter 5. Covariant derivative Chapter 6. Curvature Chapter 7. Differentiability of the exponential map Chapter 8. Jacobi fields Appendix A. Density of regular curves Appendix B. $C^1$ curves Appendix C. On the definition of exponential map Appendix D. A weak notion of absolute continuity of vector fields

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Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012


Mode of access : World Wide Web

ISBN: 9780821885291 (online)

Subjects--Topical Terms:
Riemannian manifolds.
Geometry, Differential.
Spaces of measures.

LC Class. No.: QA649 / .G516 2011

Dewey Class. No.: 516.3/62