Higher genus nonorientable maximal surfaces in the Lorentz-Minkowski 3-space
Shoichi Fujimori, Shin Kaneda
TL;DR
This paper investigates the existence of high-genus, nonorientable maximal surfaces with one end in Lorentz-Minkowski 3-space, expanding understanding of their geometric properties.
Contribution
It provides new existence results for nonorientable maximal surfaces of high genus with a single end in Lorentz-Minkowski 3-space.
Findings
Existence of high-genus nonorientable maximal surfaces established.
Construction methods for such surfaces are discussed.
Results contribute to the classification of maximal surfaces in Lorentz-Minkowski space.
Abstract
We study nonorientable maximal surfaces in Lorentz-Minkowski 3-space. We prove some existence results for surfaces of this kind with high genus and one end.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Point processes and geometric inequalities