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)
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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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Nicola Gigli
Published by American Mathematical Society, United States (2012)
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Book Description American Mathematical Society, United States, 2012. Paperback. Condition: New. Language: English . Brand New Book. 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. Seller Inventory # AAN9780821853092

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Book Description American Mathematical Society, United States, 2012. Paperback. Condition: New. Language: English. Brand new Book. 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. Seller Inventory # AAN9780821853092

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Book Description American Mathematical Society. Paperback. Condition: New. New copy - Usually dispatched within 2 working days. Seller Inventory # B9780821853092

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Book Description American Mathematical Society, 2012. PAP. Condition: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Seller Inventory # CE-9780821853092

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Book Description Amer Mathematical Society, 2012. Paperback. Condition: Brand New. 154 pages. 9.75x6.75x0.25 inches. In Stock. Seller Inventory # __0821853090

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