Displaying similar documents to “Spaces with Ricci curvature bounds.”

Complete gradient Ricci solitons

Udo Simon (2015)

Colloquium Mathematicae

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For complete gradient Ricci solitons we state necessary conditions for a non-trivial soliton structure in terms of intrinsic curvature invariants.

Characterization of Low Dimensional RCD*(K, N) Spaces

Yu Kitabeppu, Sajjad Lakzian (2016)

Analysis and Geometry in Metric Spaces

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In this paper,we give the characterization of metric measure spaces that satisfy synthetic lower Riemannian Ricci curvature bounds (so called RCD*(K, N) spaces) with non-empty one dimensional regular sets. In particular, we prove that the class of Ricci limit spaces with Ric ≥ K and Hausdorff dimension N and the class of RCD*(K, N) spaces coincide for N < 2 (They can be either complete intervals or circles). We will also prove a Bishop-Gromov type inequality (that is ,roughly speaking,...