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

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.

16 pages