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保形几何中非局部曲率的正则性和刚度

IF 0.8 4区 数学
数学研究 Pub Date : 2020-06-01 DOI:10.4208/jms.v53n4.20.03
Wenxiong Zhang
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引用次数: 1

摘要

在本文中，我们将探讨保形协变算子的几何效应和在某些非局部性质下诱导的非线性曲率方程。主要，我们将证明这些方程的分布解的一些正则性和刚性结果。
本文章由计算机程序翻译，如有差异，请以英文原文为准。
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Regularity and Rigidity for Nonlocal Curvatures in Conformal Geometry
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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来源期刊
数学研究
数学研究 MATHEMATICS-
自引率
0.00%
发文量
1109
期刊介绍： Journal of Mathematical Study (JMS) is a comprehensive mathematical journal published jointly by Global Science Press and Xiamen University. It publishes original research and survey papers, in English, of high scientific value in all major fields of mathematics, including pure mathematics, applied mathematics, operational research, and computational mathematics.
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