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arxiv: 1105.0503 · v1 · pith:QXBTCPK4new · submitted 2011-05-03 · 🧮 math.DG

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

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keywords mathbbsurfacesangleconstanttimesarticleclassificationcomplete
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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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