翘积流形上的算子 $Δ-aS$

arXiv - MATH - Differential Geometry Pub Date : 2024-09-13 DOI:arxiv-2409.08818

Ezequiel Barbosa, Mateus Souza, Celso Viana

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摘要

在这项工作中，我们研究了$L_a=\Delta-aS$，$a\in\mathbb R$，在一个无限区间或实线与一个紧凑流形的翘曲乘积中的算子族的稳定性，其中$\Delta$是拉普拉斯，$S$是所得流形的标量曲率。

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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Operator $Δ-aS$ on warped product manifolds

In this work we studied the stability of the family of operators $L_a=\Delta-aS$, $a\in\mathbb R$, in a warped product of an infinite interval or real line by one compact manifold, where $\Delta$ is the Laplacian and $S$ is the scalar curvature of the resulting manifold.

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arXiv - MATH - Differential Geometry

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