An Overview of the Proof of the Splitting Theorem in Spaces with Non-Negative Ricci Curvature-Reference-Cited by-同舟云学术

An Overview of the Proof of the Splitting Theorem in Spaces with Non-Negative Ricci Curvature

Published:2014-01-01 Issue:1 Volume:2 Page:
ISSN:2299-3274
Container-title:Analysis and Geometry in Metric Spaces
language:en
Short-container-title:

Author:

Gigli Nicola¹

Affiliation:

1. Institut de Mathématiques de Jussieu, UPMC, 4 Place Jussieu - 75252 Paris, France

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Analysis

Link

https://www.degruyter.com/document/doi/10.2478/agms-2014-0006/pdf

Reference52 articles.

1. [1] U. Abresch and D. Gromoll, On complete manifolds with nonnegative Ricci curvature, J. Amer. Math. Soc., 3 (1990), pp. 355-374.

2. [2] L. Ambrosio and N. Gigli, A user’s guide to optimal transport. Modelling and Optimisation of Flows on Networks, Lecture Notes in Mathematics, Vol. 2062, Springer, 2011.

3. [3] L. Ambrosio, N. Gigli, A. Mondino, and T. Rajala, Riemannian ricci curvature lower bounds in metric measure spaces with ff-ffnite measure. Preprint, arXiv:1207.4924, 2011.

4. [4] L. Ambrosio, N. Gigli, and G. Savaré, Gradient flows in metric spaces and in the space of probability measures, Lectures in Mathematics ETH Zürich, Birkhäuser Verlag, Basel, second ed., 2008.

5. [5] , Density of Lipschitz functions and equivalence of weak gradients in metric measure spaces. Accepted by Revista Matemática Iberoamericana, arXiv:1111.3730, 2011.

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