A Characterization of Minimal Surfaces in $S^5$ with Parallel Normal Vector Field
Abstract
In this paper we proof that the Holomorphic angle for compact minimal surfaces in the sphere $S^5$ with constant Contact angle and with a parallel normal vector field must be constant.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- November 2006
- DOI:
- 10.48550/arXiv.math/0611207
- arXiv:
- arXiv:math/0611207
- Bibcode:
- 2006math.....11207R
- Keywords:
-
- Mathematics - Differential Geometry;
- Mathematics - Symplectic Geometry;
- 53C42;
- 53D10