arXiv subjects

Jose A. Verderesi

Publications and source records attributed to Jose A. Verderesi.

3 recordsLinked to original sources

arXiv2006

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

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.

math.DG↗

arXiv2006

Homogeneous Surfaces in S^3

The goal of this paper is to establish the classification of all homogeneous surfaces of 3-sphere by using the moving frame method. We will show that such surfaces are 2-spheres and flat torus.

math.DG↗

arXiv2003

Contact Angle for Immersed Surfaces in $S^{2n+1}$

In this paper we introduce the notion of contact angle. We deduce formulas for Laplacian and Gaussian curvature of a minimal surface in $S^{2n+1}$ and give a characterization of the generalized Clifford Torus as the only non-legendrian minimal surface in $S^5$ with constant Contact and Kaehler angles.

math.DG↗