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Needle Decompositions in Riemannian Geometry, Paperback / softback Book

Needle Decompositions in Riemannian Geometry Paperback / softback

Part of the Memoirs of the American Mathematical Society series

Paperback / softback

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Description

The 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.

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£66.00

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