Tohoku Mathematical Journal
2010
September
SECOND SERIES VOL. 62, NO. 3

Tohoku Math. J.
62 (2010), 311-328

Title NONORIENTABLE MAXIMAL SURFACES IN THE LORENTZ-MINKOWSKI 3-SPACE

Author Shoichi Fujimori and Francisco J. López

(Received May 15, 2009, revised February 4, 2010)
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.

2000 Mathematics Subject Classification. Primary 53A10; Secondary 53C42, 53C50.
Key words and phrases. Maximal surface, nonorientable surface.

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