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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.
- Format: Pocket/Paperback
- ISBN: 9781470425425
- Språk: Engelska
- Antal sidor: 77
- Utgivningsdatum: 2017-10-30
- Förlag: American Mathematical Society