A Congruence Theorem for Minimal Surfaces in $S^{5}$ with Constant Contact Angle
Differential Geometry
2007-05-23 v1
Abstract
We provide a congruence theorem for minimal surfaces in with constant contact angle using Gauss-Codazzi-Ricci equations. More precisely, we prove that Gauss-Codazzi-Ricci equations for minimal surfaces in with constant contact angle satisfy an equation for the Laplacian of the holomorphic angle. Also, we will give a characterization of flat minimal surfaces in with constant contact angle.
Keywords
Cite
@article{arxiv.math/0611888,
title = {A Congruence Theorem for Minimal Surfaces in $S^{5}$ with Constant Contact Angle},
author = {Rodrigo Ristow Montes and Jose A. Verderesi},
journal= {arXiv preprint arXiv:math/0611888},
year = {2007}
}
Comments
9 pages