A Congruence Theorem for Minimal Surfaces in $S^{5}$ with Constant Contact Angle

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We provide a congruence theorem for minimal surfaces in $S^5$ with constant contact angle using Gauss-Codazzi-Ricci equations. More precisely, we prove that Gauss-Codazzi-Ricci equations for minimal surfaces in $S^5$ 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 $S^5$ with constant contact angle.
9 pages

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Differential Geometry, 53C42 - 53D10 - 53D35

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http://salesiana.dossiersoluciones.com/handle/123456789/119462

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0611888
 http://arxiv.org/abs/math/0611888

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arXiv