Second Order Analysis on mathscr P 2 M W 2 is popular PDF and ePub book, written by Nicola Gigli in 2012-02-22, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Second Order Analysis on mathscr P 2 M W 2 can be Read Online from any device for your convenience.
Second Order Analysis on mathscr P 2 M W 2 Book PDF Summary
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.
Detail Book of Second Order Analysis on mathscr P 2 M W 2 PDF
- Author : Nicola Gigli
- Release : 22 February 2012
- Publisher : American Mathematical Soc.
- ISBN : 9780821853092
- Genre : Mathematics
- Total Page : 173 pages
- Language : English
- PDF File Size : 21,8 Mb
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