Nonorientable maximal surfaces in the Lorentz-Minkowski 3-space

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

21 pages, 5 figures

References in corpus (1)

• Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces

Cited by in corpus (2)

• Orientability of linear Weingarten surfaces, spacelike CMC-1 surfaces and maximal surfaces
• New maximal surfaces in Minkowski 3-space with arbitrary genus and their cousins in de Sitter 3-space