$HS_{r}$-valued Gauss maps and umbilic spacelike surfaces of codimension two

Dang Van Cuong; Doan The Hieu

$HS_{r}$-valued Gauss maps and umbilic spacelike surfaces of codimension two

Differential Geometry 2011-02-17 v2

Authors: Dang Van Cuong , Doan The Hieu

Abstract

To study spacelike surfaces of codimension two in the Lorentz-Minkowski space $\Bbb R^{n+1}_1,$ we construct a pair of maps whose values are in $HS_r:=H_+^n(\textbf v,1)\cap \{x_{n+1}=r\},$ called $\textbf n_r^{\pm}$ -Gauss maps. It is showed that they are well-defined and useful to study practically flat as well as umbilic spacelike surfaces of codimension two in $\Bbb R^{n+1}_1.$

Keywords

Gauss maps spacelike surfaces codimension two umbilic surfaces Lorentz-Minkowski space

Cite

@article{arxiv.1102.2527,
  title  = {$HS_{r}$-valued Gauss maps and umbilic spacelike surfaces of codimension two},
  author = {Dang Van Cuong and Doan The Hieu},
  journal= {arXiv preprint arXiv:1102.2527},
  year   = {2011}
}

Comments

15 pages

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