Constant Angle Surfaces in \mathbbS³(1) × ℝ

2011/05/03 by Chen, Daguang, Chen, Gangyi, Chen, Hang +1
#53B25 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1105.0503

Abstract

In this article we study surfaces in \mathbbS³(1) × ℝ for which the 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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