English

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

Differential Geometry 2011-05-04 v1

Abstract

In this article we study surfaces in S3(1)×R\mathbb{S}^3(1) \times \mathbb{R} for which the R\mathbb{R}-direction makes a constant angle with the normal plane. We give a complete classification for such surfaces with parallel mean curvature vector.

Keywords

Cite

@article{arxiv.1105.0503,
  title  = {Constant Angle Surfaces in $\mathbb{S}^3(1) \times \mathbb{R}$},
  author = {Daguang Chen and Gangyi Chen and Hang Chen and Franki Dillen},
  journal= {arXiv preprint arXiv:1105.0503},
  year   = {2011}
}

Comments

16 pages

R2 v1 2026-06-21T18:01:57.077Z