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

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

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 dimens...

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Bibliographic Details
Main Authors: Kitabeppu Yu, Lakzian Sajjad
Format: Article
Language:English
Published: De Gruyter 2016-09-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
low dimensional
metric measure spaces
riemannian ricci curvature bound
curvaturedimension
bishop-gromov
ahlfors regular
ricci limit spaces
Online Access:https://doi.org/10.1515/agms-2016-0007

Internet

https://doi.org/10.1515/agms-2016-0007

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