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December 2012 On the Gauss map of surfaces of revolution in the three-dimensional Minkowski space
Chahrazede Baba-Hamed, Mohammed Bekkar
Tsukuba J. Math. 36(2): 193-215 (December 2012). DOI: 10.21099/tkbjm/1358776999

Abstract

In this paper, we study surfaces of revolution without parabolic points in the 3-dimensional Lorentz-Minkowski space whose Gauss map N satisfies the condition ΔIIN = AN, where ΔII is the Laplace operator with respect to the second fundamental form and A is a real 3 × 3 matrix. More precisely we prove that such surfaces are either pseudo-Riemannian spheres S21 or pseudohyperbolic spaces H20.

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Chahrazede Baba-Hamed. Mohammed Bekkar. "On the Gauss map of surfaces of revolution in the three-dimensional Minkowski space." Tsukuba J. Math. 36 (2) 193 - 215, December 2012. https://doi.org/10.21099/tkbjm/1358776999

Information

Published: December 2012
First available in Project Euclid: 21 January 2013

zbMATH: 1259.53015
MathSciNet: MR3058239
Digital Object Identifier: 10.21099/tkbjm/1358776999

Subjects:
Primary: 53A05, 53C40, 53C50

Rights: Copyright © 2013 University of Tsukuba, Institute of Mathematics

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Vol.36 • No. 2 • December 2012
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