COURBURE DE RICCI PDF

Abstract: We show that a complete Riemannian manifold of dimension with $\Ric\ geq n{-}1$ and its -st eigenvalue close to is both. Abstract: We show that for n dimensional manifolds whose the Ricci curvature is greater or equal to n-1 and for k in {1,,n+1}, the k-th. We show that a complete Riemannian manifold of dimension $n$ with $\Ric\geq n{-}1$ and its $n$-st eigenvalue close to $n$ is both Gromov-Hausdorff close.

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Yamaguchi – A new version of the differentiable sphere theoremInvent.

Mathematics > Differential Geometry

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Journals Seminars Books Theses Authors. Topics rkcci optimal transportationvol. Perelman – Alexandrov’s spaces with curvature bounded below IIpreprint. Gradient flows in metric spaces and in the space of probability measures.

EUDML | Transport optimal et courbure de Ricci

A convexity principle for interacting gases. Lohkamp – Manifolds of negative Ricci-curvatureAnn. Generalization of an inequality by Talagrand and links with the logarithmic Sobolev inequality.

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Transport optimal et courbure de Ricci. Paris Journals Seminars Books Theses Authors. Ricci curvature for metric-measure spaces via optimal transport.

Sobolev inequalities with a remainder term.