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OverviewThe localization technique from convex geometry is generalized to the setting of Riemannian manifolds whose Ricci curvature is bounded from below. In a nutshell, the author's method is based on the following observation: When the Ricci curvature is non-negative, log-concave measures are obtained when conditioning the Riemannian volume measure with respect to a geodesic foliation that is orthogonal to the level sets of a Lipschitz function. The Monge mass transfer problem plays an important role in the author's analysis. Full Product DetailsAuthor: Bo'az KlartagPublisher: American Mathematical Society Imprint: American Mathematical Society Weight: 0.180kg ISBN: 9781470425425ISBN 10: 1470425424 Pages: 77 Publication Date: 30 October 2017 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Temporarily unavailable  The supplier advises that this item is temporarily unavailable. It will be ordered for you and placed on backorder. Once it does come back in stock, we will ship it out to you. Table of ContentsIntroduction Regularity of geodesic foliations Conditioning a measure with respect to a geodesic foliation The Monge-Kantorovich problem Some applications Further research Appendix: The Feldman-McCann proof of Lemma 2.4.1 Bibliography.ReviewsAuthor InformationBo'az Klartag, Tel Aviv University, Israel. Tab Content 6Author Website:Countries AvailableAll regions |
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