A variational proof of Alexandrov's convex cap theorem
| dc.creator | Izmestiev, Ivan | |
| dc.date | 2007-03-06 | |
| dc.date | 2007-04-24 | |
| dc.date.accessioned | 2026-07-07T07:57:54Z | |
| dc.date.available | 2026-07-07T07:57:54Z | |
| dc.description | We give a variational proof of the existence and uniqueness of a convex cap with the given upper boundary. The proof uses the concavity of the total scalar curvature functional on the space of generalized convex caps. As a byproduct, we prove that generalized convex caps with the fixed boundary are globally rigid, that is uniquely determined by their curvatures. | |
| dc.description | 28 pages, 7 figures Minor changes in the introduction, Subsection 4.3 added, references added | |
| dc.identifier | https://arxiv.org/abs/math/0703169 | |
| dc.identifier | http://arxiv.org/abs/math/0703169 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/127815 | |
| dc.subject | Differential Geometry | |
| dc.subject | Metric Geometry | |
| dc.subject | 52B10, 53C45; 52C25 | |
| dc.title | A variational proof of Alexandrov's convex cap theorem | |
| dc.type | text |