### Constant Angle Surfaces in $\mathbb{S}^3(1) \times \mathbb R$

Daguang Chen, Gangyi Chen, Hang Chen, and Franki Dillen
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 19, Number 2 (2012), 289-304.

#### 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.

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Primary Subjects: 53B25