Regularity and Rigidity for Nonlocal Curvatures in Conformal Geometry

Authors

  • Wenxiong Chen Department of Mathematics, Yeshiva University, New York, NY 10033, USA
  • Ruobing Zhang Department of Mathematics, Stony Brook University, Stony Brook, NY 11794, USA

DOI:

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

Keywords:

Regularity, spherical rigidity, nonlocal curvatures, conformal geometry.

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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Published

2020-12-29

Issue

Vol. 53 No. 4 (2020)

Section

Articles