$H{S}_r$-valued Gauss maps and umbilic spacelike surfaces of codimension two

Dang Van Cuong, Doan The Hieu

To study spacelike surfaces of codimension two in the Lorentz-Minkowski space ${\mathbb{R}}_1^{n+1},$ we construct a pair of maps whose values are in $HS_r:=H_+^n(\textbf v,1)\cap \{x_{n…