Nonorientable maximal surfaces in the Lorentz-Minkowski 3-space
Shoichi Fujimori, Francisco J. Lopez
TL;DR
This paper investigates the geometry and topology of complete nonorientable maximal surfaces with lightlike singularities in Lorentz-Minkowski 3-space, establishing topological formulas and proving existence and uniqueness results for specific surface types.
Contribution
It introduces new topological congruence formulas and proves existence and uniqueness results for maximal Moebius strips and Klein bottles with one end.
Findings
Derived topological congruence formulas for nonorientable maximal surfaces.
Proved existence of maximal Moebius strips and Klein bottles with one end.
Established uniqueness results for these nonorientable surfaces.
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.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Point processes and geometric inequalities · Geometry and complex manifolds