Second Order Analysis on P2m, W2 (Memoirs of the American Mathematical Society)

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9780821853092: Second Order Analysis on P2m, W2 (Memoirs of the American Mathematical Society)

The author develops a rigorous second order analysis on the space of probability measures on a Riemannian manifold endowed with the quadratic optimal transport distance $W_2$. The discussion includes: definition of covariant derivative, discussion of the problem of existence of parallel transport, calculus of the Riemannian curvature tensor, differentiability of the exponential map and existence of Jacobi fields. This approach does not require any smoothness assumption on the measures considered.

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Gigli, Nicola
Published by Amer Mathematical Society (2012)
ISBN 10: 0821853090 ISBN 13: 9780821853092
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Book Description Amer Mathematical Society, 2012. Paperback. Book Condition: New. book. Bookseller Inventory # 821853090

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