Helicoidal surfaces in the three-dimensional Lorentz-Minkowski space satisfying ΔIIri = λiri

被引：9
|
作者：
Baba-Hamed C. [1 ]
Bekkar M. [1 ]
机构：
[1] Department of Mathematics, Faculty of Sciences, University of Oran, Oran, P.O. Box 1524, El Menouar
来源：
Journal of Geometry | 2011年 / 100卷 / 1-2期
关键词：
Helicoidal surfaces; Laplace operator; Lorentz-Minkowski space;
D O I：
10.1007/s00022-011-0074-2
中图分类号：
学科分类号：
摘要：
In this paper, we study helicoidal surfaces without parabolic points in the 3-dimensional Lorentz-Minkowski space under the condition ΔIIri = λiri where ΔII is the Laplace operator with respect to the second fundamental form and λi is a real number. We prove that there are no helicoidal surfaces without parabolic points in the 3-dimensional Lorentz-Minkowski space satisfying that condition. © 2011 Springer Basel AG.
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页码：1 / 10
页数：9
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