Needle Decompositions in Riemannian Geometry (Memoirs of the American Mathematical Society) by Bo’az Klartag (PDF)

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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.

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Free Download Needle Decompositions in Riemannian Geometry (Memoirs of the American Mathematical Society) in PDF format
Needle Decompositions in Riemannian Geometry (Memoirs of the American Mathematical Society) PDF Free Download
Download Needle Decompositions in Riemannian Geometry (Memoirs of the American Mathematical Society) PDF Free
Needle Decompositions in Riemannian Geometry (Memoirs of the American Mathematical Society) PDF Free Download
Download Needle Decompositions in Riemannian Geometry (Memoirs of the American Mathematical Society) PDF
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