Conformal Metrics with Prescribed Fractional Scalar Curvature on Conformal Infinities with Positive Fractional Yamabe Constants
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Seunghyeok | - |
dc.date.accessioned | 2022-07-06T22:39:48Z | - |
dc.date.available | 2022-07-06T22:39:48Z | - |
dc.date.created | 2021-05-11 | - |
dc.date.issued | 2021-04 | - |
dc.identifier.issn | 1050-6926 | - |
dc.identifier.uri | https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/142141 | - |
dc.description.abstract | Let (X, g(+)) be an asymptotically hyperbolic manifold with conformal infinity (M, [(h) over cap]). Our primary aim is to introduce the prescribed fractional scalar curvature problem on M and to provide its solutions under various geometric conditions on X and M. We also deduce the existence results for the fractional Yamabe problem in the end-point cases, e.g., n = 3, gamma = 1 2 and M is non-umbilic, etc. Finally, we prove that all solutions we find here are smooth on M. | - |
dc.language | 영어 | - |
dc.language.iso | en | - |
dc.publisher | SPRINGER | - |
dc.title | Conformal Metrics with Prescribed Fractional Scalar Curvature on Conformal Infinities with Positive Fractional Yamabe Constants | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Seunghyeok | - |
dc.identifier.doi | 10.1007/s12220-020-00434-x | - |
dc.identifier.scopusid | 2-s2.0-85086478246 | - |
dc.identifier.wosid | 000539981600001 | - |
dc.identifier.bibliographicCitation | JOURNAL OF GEOMETRIC ANALYSIS, v.31, no.4, pp.4287 - 4327 | - |
dc.relation.isPartOf | JOURNAL OF GEOMETRIC ANALYSIS | - |
dc.citation.title | JOURNAL OF GEOMETRIC ANALYSIS | - |
dc.citation.volume | 31 | - |
dc.citation.number | 4 | - |
dc.citation.startPage | 4287 | - |
dc.citation.endPage | 4327 | - |
dc.type.rims | ART | - |
dc.type.docType | Article; Early Access | - |
dc.description.journalClass | 1 | - |
dc.description.isOpenAccess | N | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordPlus | MEAN-CURVATURE | - |
dc.subject.keywordPlus | MAXIMUM-PRINCIPLES | - |
dc.subject.keywordPlus | FLAT METRICS | - |
dc.subject.keywordPlus | EXISTENCE | - |
dc.subject.keywordPlus | MANIFOLDS | - |
dc.subject.keywordPlus | EQUATIONS | - |
dc.subject.keywordPlus | INEQUALITIES | - |
dc.subject.keywordPlus | COMPACTNESS | - |
dc.subject.keywordPlus | LAPLACIANS | - |
dc.subject.keywordPlus | SCATTERING | - |
dc.subject.keywordAuthor | Prescribed fractional scalar curvature problem | - |
dc.subject.keywordAuthor | Fractional Yamabe problem | - |
dc.subject.keywordAuthor | Existence | - |
dc.subject.keywordAuthor | Regularity | - |
dc.identifier.url | https://link.springer.com/article/10.1007/s12220-020-00434-x | - |
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