Open Access
2010 Nonorientable maximal surfaces in the Lorentz-Minkowski 3-space
Shoichi Fujimori, Francisco J. López
Tohoku Math. J. (2) 62(3): 311-328 (2010). DOI: 10.2748/tmj/1287148614

Abstract

The geometry and topology of complete nonorientable maximal surfaces with lightlike singularities in the Lorentz-Minkowski 3-space are studied. Some topological congruence formulae for surfaces of this kind are obtained. As a consequence, some existence and uniqueness results for maximal Möbius strips and maximal Klein bottles with one end are proved.

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Shoichi Fujimori. Francisco J. López. "Nonorientable maximal surfaces in the Lorentz-Minkowski 3-space." Tohoku Math. J. (2) 62 (3) 311 - 328, 2010. https://doi.org/10.2748/tmj/1287148614

Information

Published: 2010
First available in Project Euclid: 15 October 2010

zbMATH: 1246.53007
MathSciNet: MR2742011
Digital Object Identifier: 10.2748/tmj/1287148614

Subjects:
Primary: 53A10
Secondary: 53C42 , 53C50

Keywords: Maximal surface , nonorientable surface

Rights: Copyright © 2010 Tohoku University

Vol.62 • No. 3 • 2010
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