Volume of $C^{1,α}$-boundary domain in extended hyperbolic space
| dc.creator | Cho, Yunhi | |
| dc.creator | Kim, Hyuk | |
| dc.date | 2006-12-13 | |
| dc.date.accessioned | 2026-07-07T06:43:14Z | |
| dc.date.available | 2026-07-07T06:43:14Z | |
| dc.description | We consider the projectivization of Minkowski space with the analytic continuation of the hyperbolic metric and call this an extended hyperbolic space. We can measure the volume of a domain lying across the boundary of the hyperbolic space using an analytic continuation argument. In this paper we show this method can be further generalized to find the volume of a domain with smooth boundary with suitable regularity in dimension 2 and 3. We also discuss that this volume is invariant under the group of hyperbolic isometries and that this regularity condition is sharp. | |
| dc.identifier | https://arxiv.org/abs/math/0612374 | |
| dc.identifier | http://arxiv.org/abs/math/0612374 | |
| dc.identifier | J. Korean Math. Soc., vol. 43 (2006), pp. 1143-1158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102336 | |
| dc.subject | Metric Geometry | |
| dc.subject | 51M10, 51M25, 53C50 | |
| dc.title | Volume of $C^{1,α}$-boundary domain in extended hyperbolic space | |
| dc.type | text |