A Characterization of Minimal Surfaces in $S^5$ with Parallel Normal Vector Field

Details A Characterization of Minimal Surfaces in $S^5$ with Parallel Normal Vector Field A Characterization of Minimal Surfaces in $S^5$ with Parallel Normal Vector Field

2006-11-08

arxiv.org/abs/math/0611207v1

Mathematics

Differential Geometry

Scientific paper

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.

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