Author(s) :
Huili Liu,
Guosong Zhao
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 657-1999
MSC 2000
- 53C50 Lorentz manifolds, manifolds with indefinite metrics
-
53C40 Global submanifolds
Abstract :
A spacelike surface $M$ in 3-dimensional de Sitter space
$\mathbb{S}^3_1$ or 3-dimensional anti-de Sitter space
$\mathbb{H}^3_1$ is called isoparametric, if $M$ has constant
principle curvatures. A timelike surface is called isoparametric,
if its minimal polynomial of the shape operator is constant. In
this paper, we determine the spacelike isoparametric surfaces and the
timelike isoparametric surfacesx in $\mathbb{S}^3_1$ and
$\mathbb{H}^3_1$.
Keywords :
isoparametric surface, de Sitter and anti-de Sitter space, principal curvature