Open Access
march 2012 Constant Angle Surfaces in $\mathbb{S}^3(1) \times \mathbb R$
Daguang Chen, Gangyi Chen, Hang Chen, Franki Dillen
Bull. Belg. Math. Soc. Simon Stevin 19(2): 289-304 (march 2012). DOI: 10.36045/bbms/1337864273

Abstract

In this article we study surfaces in $\mathbb{S}^3(1)\times\mathbb{R}$ for which the $\mathbb{R}$-direction makes a constant angle with the normal plane. We give a complete classification for such surfaces with parallel mean curvature vector.

Citation

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Daguang Chen. Gangyi Chen. Hang Chen. Franki Dillen. "Constant Angle Surfaces in $\mathbb{S}^3(1) \times \mathbb R$." Bull. Belg. Math. Soc. Simon Stevin 19 (2) 289 - 304, march 2012. https://doi.org/10.36045/bbms/1337864273

Information

Published: march 2012
First available in Project Euclid: 24 May 2012

zbMATH: 1242.53017
MathSciNet: MR2977232
Digital Object Identifier: 10.36045/bbms/1337864273

Subjects:
Primary: 53B25

Keywords: constant angle surfaces , minimal surfaces , Parallel mean curvature vector

Rights: Copyright © 2012 The Belgian Mathematical Society

Vol.19 • No. 2 • march 2012
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