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Analytic formulas for complete hyperbolic affine spheres
| dc.contributor.author | Hildebrand, Roland | |
| dc.date.accessioned | 2016-07-27T04:17:59Z | |
| dc.date.available | 2019-06-28T08:10:41Z | |
| dc.date.issued | 2013 | |
| dc.description.abstract | We classify all regular three-dimensional convex cones which possess an automorphism group of dimension at least two, and provide analytic expressions for the complete hyperbolic affine spheres which are asymptotic to the boundaries of these cones. The affine spheres are represented by explicit hypersurface immersions into three-dimensional real space. The generic member of the family of immersions is given by elliptic integrals. | eng |
| dc.description.version | publishedVersion | eng |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2757 | |
| dc.language.iso | eng | eng |
| dc.publisher | Cambridge : arXiv | eng |
| dc.relation.uri | http://arxiv.org/abs/1305.4814 | |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.subject.other | Affine differential geometry | eng |
| dc.subject.other | affine spheres | eng |
| dc.subject.other | analytic expressions | eng |
| dc.subject.other | Monge-Amp`ere equation | eng |
| dc.title | Analytic formulas for complete hyperbolic affine spheres | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |