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arXiv · 1511.03115

Conformal transformation on metric measure spaces

Bang-Xian Han
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Abstract

We study several problems concerning conformal transformation on metric measure spaces, including the Sobolev space, the differential structure and the curvature-dimension condition under conformal transformations. This is the first result about preservation of lower curvature bounds under perturbation, which is new even on Alexandrov spaces.

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Bang-Xian Han. 2018-07-16. Conformal transformation on metric measure spaces. https://doi.org/10.1007/s1111

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