Needle Decompositions in Riemannian Geometry Paperback / softback
Part of the Memoirs of the American Mathematical Society series
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: Paperback / softback
- Pages: 77 pages
- Publisher: American Mathematical Society
- Publication Date: 30/10/2017
- Category: Geometry
- ISBN: 9781470425425