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Weingarten rotation surfaces in 3-dimensional de Sitter space
Authors:Huili Liu  Guili Liu
Affiliation:(1) Department of Mathematics, Northeastern University, Shenyang, 110004, P.R.China;(2) Common Course Department, Polytechnic University, Shenyang, 110023, P.R.China
Abstract:In the 3-dimensional de Sitter Space 
$$ textbf{S}^{3}_{1} $$
, a surface is said to be a spherical (resp. hyperbolic or parabolic) rotation surface, if it is a orbit of a regular curve under the action of the orthogonal transformations of the 4-dimensionalMinkowski space 
$$ textbf{S}^{3}_{1} $$
which leave a timelike (resp. spacelike or degenerate) plane pointwise fixed. In this paper, we give all spacelike and timelike Weingarten rotationsurfaces in 
$$ textbf{E}^{4}_{1} $$
.
Keywords:53C50  52C21  53C40
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