 |
HAL UPEC - UPEM Portal |  |
 |
Journal articles
On complete mean curvature 1/2 surfaces in H(2) x R
Abstract : For a complete embedded surface with compact boundary and constant mean curvature 1/2 in H(2) x R lying on one side of a horocylinder, we prove an analogue of the Hoffman-Meeks half-space theorem. As an application, we show that a complete immersed surface of constant mean curvature 1/2 which is transverse to the vertical killing field must be an entire graph. Moreover, to each holomorphic quadratic differential on the unit disk or C we can associate an entire graph of constant mean curvature 1/2.
https://hal-upec-upem.archives-ouvertes.fr/hal-00693562
Contributor : Admin Lama <>
Submitted on : Wednesday, May 2, 2012 - 6:14:51 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM
Contributor : Admin Lama <>
Submitted on : Wednesday, May 2, 2012 - 6:14:51 PM
Last modification on : Thursday, March 19, 2020 - 12:26:02 PM