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Nicola Gigli has written 3 work(s)
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Product Description: The main goals of this paper are:*(i) To develop an abstract differential calculus on metric measure spaces by investigating the duality relations between differentials and gradients of Sobolev functions. This will be achieved without calling into play any sort of analysis in charts, our assumptions being: the metric space is complete and separable and the measure is Radon and non-negative...read more
Hardcover:
9780517648995, titled "Jian" | Random House Inc, July 1, 1985, cover price $4.99 | also contains Jian | About this edition: "Brilliant.
Paperback:
9781470414207 | Amer Mathematical Society, June 26, 2015, cover price $76.00 | About this edition: The main goals of this paper are:*(i) To develop an abstract differential calculus on metric measure spaces by investigating the duality relations between differentials and gradients of Sobolev functions.
Product Description: 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...read more
Paperback:
9780821853092, titled "Second Order Analysis on (P2(M), W2)" | Amer Mathematical Society, March 15, 2012, cover price $77.00 | About this edition: 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 $W_2$.
Paperback:
9783764387211 | 2 edition (Birkhauser, June 3, 2008), cover price $69.95
9783764324285 | Birkhauser, August 30, 2005, cover price $52.95
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