Publication: Number of least area planes in gromov hyperbolic 3-spaces
| dc.contributor.department | Department of Mathematics | |
| dc.contributor.kuauthor | Coşkunüzer, Barış | |
| dc.contributor.kuprofile | Faculty Member | |
| dc.contributor.other | Department of Mathematics | |
| dc.contributor.schoolcollegeinstitute | College of Sciences | |
| dc.contributor.yokid | N/A | |
| dc.date.accessioned | 2024-11-10T00:07:12Z | |
| dc.date.issued | 2010 | |
| dc.description.abstract | We show that for a generic simple closed curve Gamma in the asymptotic boundary of a Gromov hyperbolic 3-space with cocompact metric X, there exists a unique least area plane Sigma in X such that partial derivative(infinity)Sigma = Gamma. This result has interesting topological applications for constructions of canonical 2-dimensional objects in Gromov hyperbolic 3-manifolds. | |
| dc.description.indexedby | WoS | |
| dc.description.indexedby | Scopus | |
| dc.description.issue | 8 | |
| dc.description.openaccess | YES | |
| dc.description.publisherscope | International | |
| dc.description.sponsoredbyTubitakEu | TÜBİTAK | |
| dc.description.sponsoredbyTubitakEu | EU | |
| dc.description.sponsorship | EU [IRG-226062] | |
| dc.description.sponsorship | TUBITAK[107T642] | |
| dc.description.sponsorship | TUBA The author is partially supported by EU-FP7 Grant IRG-226062, TUBITAKGrant 107T642 and a TUBA-GEBIP Award. | |
| dc.description.volume | 138 | |
| dc.identifier.doi | 10.1090/S0002-9939-10-10308-6 | |
| dc.identifier.issn | 0002-9939 | |
| dc.identifier.quartile | Q2 | |
| dc.identifier.scopus | 2-s2.0-77952058392 | |
| dc.identifier.uri | http://dx.doi.org/10.1090/S0002-9939-10-10308-6 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14288/16747 | |
| dc.identifier.wos | 280305000025 | |
| dc.keywords | Plateau-problem | |
| dc.keywords | Manifolds | |
| dc.keywords | Space | |
| dc.keywords | Hypersurfaces | |
| dc.keywords | 3-Manıfolds | |
| dc.keywords | Foliations | |
| dc.keywords | Existence | |
| dc.language | English | |
| dc.publisher | American Mathematical Society (AMS) | |
| dc.source | Proceedings of The American Mathematical Society | |
| dc.subject | Mathematics, Applied | |
| dc.subject | Mathematics | |
| dc.title | Number of least area planes in gromov hyperbolic 3-spaces | |
| dc.type | Journal Article | |
| dspace.entity.type | Publication | |
| local.contributor.authorid | 0000-0001-7462-8819 | |
| local.contributor.kuauthor | Coşkunüzer, Barış | |
| relation.isOrgUnitOfPublication | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe | |
| relation.isOrgUnitOfPublication.latestForDiscovery | 2159b841-6c2d-4f54-b1d4-b6ba86edfdbe |