Nonorientable maximal surfaces in the Lorentz-Minkowski 3-space

Mathematics – Differential Geometry

Scientific paper

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21 pages, 5 figures

Scientific paper

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 Moebius strips
and maximal Klein bottles with one end are proved.

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