Calculus of Variations and Geometric Measure Theory
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B. Han

Conformal transformation on metric measure spaces

created by han1 on 16 Dec 2015

[BibTeX]

Preprint

Inserted: 16 dec 2015
Last Updated: 16 dec 2015

Year: 2015

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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