Tohoku Mathematical Journal

Nonorientable maximal surfaces in the Lorentz-Minkowski 3-space

Shoichi Fujimori and Francisco J. López

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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.

Article information

Tohoku Math. J. (2), Volume 62, Number 3 (2010), 311-328.

First available in Project Euclid: 15 October 2010

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Zentralblatt MATH identifier

Primary: 53A10: Minimal surfaces, surfaces with prescribed mean curvature [See also 49Q05, 49Q10, 53C42]
Secondary: 53C42: Immersions (minimal, prescribed curvature, tight, etc.) [See also 49Q05, 49Q10, 53A10, 57R40, 57R42] 53C50: Lorentz manifolds, manifolds with indefinite metrics

Maximal surface nonorientable surface


Fujimori, Shoichi; López, Francisco J. Nonorientable maximal surfaces in the Lorentz-Minkowski 3-space. Tohoku Math. J. (2) 62 (2010), no. 3, 311--328. doi:10.2748/tmj/1287148614.

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