{"title":"Operator $Δ-aS$ on warped product manifolds","authors":"Ezequiel Barbosa, Mateus Souza, Celso Viana","doi":"arxiv-2409.08818","DOIUrl":null,"url":null,"abstract":"In this work we studied the stability of the family of operators\n$L_a=\\Delta-aS$, $a\\in\\mathbb R$, in a warped product of an infinite interval\nor real line by one compact manifold, where $\\Delta$ is the Laplacian and $S$\nis the scalar curvature of the resulting manifold.","PeriodicalId":501113,"journal":{"name":"arXiv - MATH - Differential Geometry","volume":"14 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Differential Geometry","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08818","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
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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