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

preprint2011arXivOpen access

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

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Constant Angle Surfaces in S3(1)×R\mathbb{S}^3(1) \times \mathbb{R}S3(1)×R

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