Regularity and Rigidity for Nonlocal Curvatures in Conformal Geometry

Regularity and Rigidity for Nonlocal Curvatures in Conformal Geometry

Year:    2020

Author:    Wenxiong Chen, Ruobing Zhang

Journal of Mathematical Study, Vol. 53 (2020), Iss. 4 : pp. 436–470

Abstract

In this paper, we will explore the geometric effects of conformally covariant operators and the induced nonlinear curvature equations in certain nonlocal nature. Mainly, we will prove some regularity and rigidity results for the distributional solutions to those equations.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jms.v53n4.20.03

Journal of Mathematical Study, Vol. 53 (2020), Iss. 4 : pp. 436–470

Published online:    2020-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    35

Keywords:    Regularity spherical rigidity nonlocal curvatures conformal geometry.

Author Details

Wenxiong Chen

Ruobing Zhang