A conformal representation for linear Weingarten surfaces in the de Sitter space

JOURNAL OF GEOMETRY AND PHYSICS

卷:57

Article

Aledo, Juan A. ; Espinar, Jose M.

关键词: de Sitter 3-space;    Weingarten surfaces;    conformal representation;    Gaussian curvature;   

DOI  :  10.1016/j.geomphys.2007.02.002

来源: Elsevier

【 摘 要 】

In this paper we Study a wide family of spacelike surfaces in S-1(3) which includes, for instance, constant mean curvature I surfaces and flat surfaces: those whose mean and Gauss-Kronecker curvatures verify the lineal relationship 2a(H-1) + b(K-1) = 0 for a, b is an element of R, a + b not equal 0. We show that these surfaces can be parametrized with holomorphic data and we use it to classify the complete surfaces from this family with non-negative Gaussian curvature. (c) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free