Finiteness of the number of ends of minimal submanifolds in euclidean space
| dc.creator | Tkachev, Vladimir G. | |
| dc.date | 2009-03-01 | |
| dc.date.accessioned | 2026-07-07T12:48:03Z | |
| dc.date.available | 2026-07-07T12:48:03Z | |
| dc.description | We prove a version of the well-known Denjoy-Ahlfors theorem about the number of asymptotic values of an entire function for properly immersed minimal surfaces of arbitrary codimension in R^N. The finiteness of the number of ends is proved for minimal submanifolds with finite projective volume. We show, as a corollary, that a minimal surface of codimensionn meeting any n-plane passing through the origin in at most k points has no more c(n,N)k ends. | |
| dc.description | 18 pages | |
| dc.identifier | https://arxiv.org/abs/0903.0169 | |
| dc.identifier | http://arxiv.org/abs/0903.0169 | |
| dc.identifier | Manuscr. Math., 82(1994), no 1, 313-330 | |
| dc.identifier | doi:10.1007/BF02567704 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/221921 | |
| dc.subject | Differential Geometry | |
| dc.subject | Geometric Topology | |
| dc.subject | 53A10; 49Q05; 53C65 | |
| dc.title | Finiteness of the number of ends of minimal submanifolds in euclidean space | |
| dc.type | text |