Weighted volume growth and vanishing properties of f-minimal hypersurfaces in a weighted manifold
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Yun, Gabjin | - |
dc.contributor.author | Seo, Keomkyo | - |
dc.date.available | 2021-02-22T06:45:47Z | - |
dc.date.issued | 2019-03 | - |
dc.identifier.issn | 0362-546X | - |
dc.identifier.issn | 1873-5215 | - |
dc.identifier.uri | https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/3742 | - |
dc.description.abstract | In this paper, we prove that a complete noncompact submanifold in a weighted manifold with nonpositive sectional curvature has at least linear weighted volume growth. Moreover we obtain several sufficient conditions for f-minimal hypersurfaces to have infinite weighted volume. By using an f-Laplacian comparison result, we obtain a lower bound of the first eigenvalue for the f-Laplace operator on submanifolds in a weighted manifold. We also obtain vanishing results for L-f(2) harmonic 1-forms on complete noncompact f-minimal hypersurfaces in a weighted manifold. Finally we prove a topological structure theorem for complete noncompact L-f-stable f-minimal hypersurfaces via a Liouville-type theorem for f-harmonic functions with finite f-energy. (C) 2018 Elsevier Ltd. All rights reserved. | - |
dc.format.extent | 20 | - |
dc.language | 영어 | - |
dc.language.iso | ENG | - |
dc.publisher | PERGAMON-ELSEVIER SCIENCE LTD | - |
dc.title | Weighted volume growth and vanishing properties of f-minimal hypersurfaces in a weighted manifold | - |
dc.type | Article | - |
dc.publisher.location | 영국 | - |
dc.identifier.doi | 10.1016/j.na.2018.10.015 | - |
dc.identifier.scopusid | 2-s2.0-85056870333 | - |
dc.identifier.wosid | 000456965700015 | - |
dc.identifier.bibliographicCitation | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, v.180, pp 264 - 283 | - |
dc.citation.title | NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | - |
dc.citation.volume | 180 | - |
dc.citation.startPage | 264 | - |
dc.citation.endPage | 283 | - |
dc.type.docType | Article | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | sci | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | METRIC-MEASURE-SPACES | - |
dc.subject.keywordPlus | L-2 HARMONIC 1-FORMS | - |
dc.subject.keywordPlus | ISOPERIMETRIC-INEQUALITIES | - |
dc.subject.keywordPlus | MEAN-CURVATURE | - |
dc.subject.keywordPlus | RIEMANNIAN MANIFOLD | - |
dc.subject.keywordPlus | SUBMANIFOLDS | - |
dc.subject.keywordPlus | SURFACES | - |
dc.subject.keywordPlus | SOBOLEV | - |
dc.subject.keywordPlus | STABILITY | - |
dc.subject.keywordPlus | GEOMETRY | - |
dc.subject.keywordAuthor | f-minimal hypersurface | - |
dc.subject.keywordAuthor | Weighted manifold | - |
dc.subject.keywordAuthor | Stability | - |
dc.subject.keywordAuthor | f-Laplacian | - |
dc.subject.keywordAuthor | First eigenvalue | - |
dc.subject.keywordAuthor | Harmonic form | - |
dc.identifier.url | https://www.sciencedirect.com/science/article/abs/pii/S0362546X18302761?via%3Dihub | - |
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