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

References in corpus (1)

• Certain Constant Angle Surfaces Constructed on Curves