Calculus of Variations and Geometric Measure Theory

B. Han

Conformal transformation on metric measure spaces

created by han1 on 16 Dec 2015
modified on 29 Sep 2024

[BibTeX]

Published Paper

Inserted: 16 dec 2015
Last Updated: 29 sep 2024

Journal: Potential Analysis
Year: 2019

Abstract:

We study the conformal transformations on metric measure spaces in a pure intrinsic way, including the Sobolev space, the differential structure and the curvature-dimension condition under conformal transformations. As an application, we will show how the conformal transformations change the curvature-dimension condition.


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