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

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

2011-05-03

arxiv.org/abs/1105.0503v1

Mathematics

Differential Geometry

16 pages

Scientific paper

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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