Rigidity Results for Submanifolds in Warped Product Manifolds

IF 1 3区数学 Q2 MATHEMATICS

Mathematische Nachrichten Pub Date : 2026-09-02 Epub Date: 2026-07-13 DOI:10.1002/mana.70204

Fábio R. dos Santos, Matheus N. Soares

引用次数: 0

Abstract

We investigate closed submanifolds immersed in a suitable warped product space and obtain an integral estimate relating the warping function, the second fundamental form, and the eigenvalues of the $p$ -Laplacian.

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翘曲积流形中子流形的刚度结果

我们研究了沉浸在合适的弯曲积空间中的闭子流形，得到了关于弯曲函数、第二基本形式和p$ p$ -拉普拉斯算子的特征值的积分估计。

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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来源期刊

Mathematische Nachrichten 数学-数学

CiteScore

1.50

自引率

0.00%

发文量

157

审稿时长

4-8 weeks

期刊介绍： Mathematische Nachrichten - Mathematical News publishes original papers on new results and methods that hold prospect for substantial progress in mathematics and its applications. All branches of analysis, algebra, number theory, geometry and topology, flow mechanics and theoretical aspects of stochastics are given special emphasis. Mathematische Nachrichten is indexed/abstracted in Current Contents/Physical, Chemical and Earth Sciences; Mathematical Review; Zentralblatt für Mathematik; Math Database on STN International, INSPEC; Science Citation Index