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arXiv · 1507.06695

Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space

Shoichi Fujimori·Yu Kawakami·Masatoshi Kokubu·Wayne Rossman·Masaaki Umehara·Kotaro Yamada
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Abstract

Catenoids in de Sitter $3$-space $S^3_1$ belong to a certain class of space-like constant mean curvature one surfaces. In a previous work, the authors classified such catenoids, and found that two different classes of countably many exceptional elliptic catenoids are not realized as closed subsets in $S^3_1$. Here we show that such exceptional catenoids have closed analytic extensions in $S^3_1$ with interesting properties.

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Shoichi Fujimori, Yu Kawakami, Masatoshi Kokubu, Wayne Rossman, Masaaki Umehara, Kotaro Yamada. 2015-07-23. Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space. https://arxiv.org/abs/1507.06695

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