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WEIGHTED L2 HARMONIC 1-FORMS AND THE TOPOLOGY AT INFINITY OF COMPLETE NONCOMPACT WEIGHTED MANIFOLDS
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| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Seo, Keomk Yo | - |
| dc.contributor.author | Yun, Gabjin | - |
| dc.date.accessioned | 2024-05-16T08:00:19Z | - |
| dc.date.available | 2024-05-16T08:00:19Z | - |
| dc.date.issued | 2023-12 | - |
| dc.identifier.issn | 0040-8735 | - |
| dc.identifier.uri | https://scholarworks.sookmyung.ac.kr/handle/2020.sw.sookmyung/160068 | - |
| dc.description.abstract | In this paper, we prove that a complete noncompact weighted manifold supporting the weighted Sobolev inequality has at least linear weighted volume growth. We also obtain vanishing results and finiteness theorems for the weighted L2 f f -harmonic 1-forms on a complete noncompact weighted manifold supporting the weighted Sobolev inequality. | - |
| dc.format.extent | 18 | - |
| dc.language | 영어 | - |
| dc.language.iso | ENG | - |
| dc.publisher | Tohoku University, Mathematical Institute | - |
| dc.title | WEIGHTED L2 HARMONIC 1-FORMS AND THE TOPOLOGY AT INFINITY OF COMPLETE NONCOMPACT WEIGHTED MANIFOLDS | - |
| dc.type | Article | - |
| dc.publisher.location | 일본 | - |
| dc.identifier.doi | 10.2748/tmj.20220513 | - |
| dc.identifier.scopusid | 2-s2.0-85180434875 | - |
| dc.identifier.wosid | 001159315700003 | - |
| dc.identifier.bibliographicCitation | Tohoku Mathematical Journal, v.75, no.4, pp 509 - 526 | - |
| dc.citation.title | Tohoku Mathematical Journal | - |
| dc.citation.volume | 75 | - |
| dc.citation.number | 4 | - |
| dc.citation.startPage | 509 | - |
| dc.citation.endPage | 526 | - |
| dc.type.docType | Article | - |
| dc.description.isOpenAccess | N | - |
| dc.description.journalRegisteredClass | scie | - |
| dc.description.journalRegisteredClass | scopus | - |
| dc.relation.journalResearchArea | Mathematics | - |
| dc.relation.journalWebOfScienceCategory | Mathematics | - |
| dc.subject.keywordPlus | METRIC-MEASURE-SPACES | - |
| dc.subject.keywordPlus | MINIMAL HYPERSURFACES | - |
| dc.subject.keywordPlus | VOLUME GROWTH | - |
| dc.subject.keywordPlus | SOBOLEV | - |
| dc.subject.keywordPlus | GEOMETRY | - |
| dc.subject.keywordPlus | SUBMANIFOLDS | - |
| dc.subject.keywordPlus | CURVATURE | - |
| dc.subject.keywordPlus | SPECTRUM | - |
| dc.subject.keywordAuthor | topology at infinity | - |
| dc.subject.keywordAuthor | weighted harmonic forms | - |
| dc.subject.keywordAuthor | Weighted manifolds | - |
| dc.subject.keywordAuthor | weighted Sobolev inequality | - |
| dc.identifier.url | https://projecteuclid.org/journals/tohoku-mathematical-journal/volume-75/issue-4/Weighted-L2-harmonic-1-forms-and-the-topology-at-infinity/10.2748/tmj.20220513.short | - |
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