Some new examples of nonorientable maximal surfaces in the Lorentz-Minkowski 3-space

Shin Kaneda

doi:10.32917/h2022012

November 2023 Some new examples of nonorientable maximal surfaces in the Lorentz-Minkowski

3

-space

Shin Kaneda

Author Affiliations +

Hiroshima Math. J. 53(3): 311-334 (November 2023). DOI: 10.32917/h2022012

Abstract

We study nonorientable maximal surfaces in the Lorentz-Minkowski $3$ -space $\mathbb{L}^3$ . We construct nonorientable maximal surfaces containing hypocycloid and maximal surfaces in $\mathbb{L}^3$ which are homeomorphic to the real projective plane $\mathbb{RP}^2$ minus two points with degree of the Gauss map being equal to $4$ .

Funding Statement

The author was supported by JST SPRING, Grant Number JPMJSP2132.

Acknowledgement

The author would like to thank the referee, and Professors Shoichi Fujimori and Keisuke Teramoto for their advice and comments.

Citation

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Shin Kaneda. "Some new examples of nonorientable maximal surfaces in the Lorentz-Minkowski $3$ -space." Hiroshima Math. J. 53 (3) 311 - 334, November 2023. https://doi.org/10.32917/h2022012