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arXiv · 2602.18686

Parametrizations of minimal timelike surfaces in the four-dimensional pseudo-Euclidean space of index two

Katsuhiro Moriya
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Abstract

We construct representation formulas for local null curves in the four-dimensional pseudo-Euclidean space of index two and derive corresponding parametrizations for local minimal timelike surfaces without integration. As a special case of the representation formula, we construct a representation formula for local null curves in the three-dimensional pseudo-Euclidean space of index one that involves integration. Our results provide examples of minimal timelike surfaces.

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Katsuhiro Moriya. 2026-02-21. Parametrizations of minimal timelike surfaces in the four-dimensional pseudo-Euclidean space of index two. https://arxiv.org/abs/2602.18686

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