Stability of Curvature-Dimension Condition for Negative Dimensions Under Concentration Topology-Reference-Cited by-同舟云学术

Stability of Curvature-Dimension Condition for Negative Dimensions Under Concentration Topology

Published:2023-09-30 Issue:12 Volume:33 Page:
ISSN:1050-6926
Container-title:The Journal of Geometric Analysis
language:en
Short-container-title:J Geom Anal

Author:

Oshima Shun^ORCID

Abstract

AbstractIn this paper, we prove the stability of metric measure spaces satisfying the curvature-dimension condition for negative dimensions under the concentration topology. This result is an analog of the result by Funano–Shioya with respect to the dimension parameter.

Funder

JST, the establishment of university fellowships towards the creation of science technology innovation

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1007/s12220-023-01435-2.pdf

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