球面上一类 K-Hessian 方程的 Obata 型公式和 Liouville 型定理

IF 0.8 3区数学 Q2 MATHEMATICS

Proceedings of the American Mathematical Society Pub Date : 2024-03-29 DOI:10.1090/proc/16857

Shujun Shi, Peihe Wang, Tian Wu, Hua Zhu

引用次数: 0

摘要

本文研究了一类 k k -Hessian 方程，通过分式积分，我们可以推导出 Obata 型公式和 Liouville 型定理。

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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An Obata-type formula and the Liouville-type theorem for a class of K-Hessian equations on the sphere

In this paper, we study a class of k k -Hessian equations, we can deduce an Obata-type formula and a Liouville-type theorem by integration by parts.

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来源期刊

Proceedings of the American Mathematical Society 数学-数学

CiteScore

1.70

自引率

10.00%

发文量

207

审稿时长

2-4 weeks

期刊介绍： All articles submitted to this journal are peer-reviewed. The AMS has a single blind peer-review process in which the reviewers know who the authors of the manuscript are, but the authors do not have access to the information on who the peer reviewers are. This journal is devoted to shorter research articles (not to exceed 15 printed pages) in all areas of pure and applied mathematics. To be published in the Proceedings, a paper must be correct, new, and significant. Further, it must be well written and of interest to a substantial number of mathematicians. Piecemeal results, such as an inconclusive step toward an unproved major theorem or a minor variation on a known result, are in general not acceptable for publication. Longer papers may be submitted to the Transactions of the American Mathematical Society. Published pages are the same size as those generated in the style files provided for AMS-LaTeX.