Analytic extension of exceptional constant mean curvature one catenoids in de Sitter 3-space
| Autor: | Fujimori, Shoichi, Kawakami, Yu, Kokubu, Masatoshi, Rossman, Wayne, Umehara, Masaaki, Yamada, Kotaro |
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| Rok vydání: | 2015 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | 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. Comment: 12 pages, 8 figures |
| Databáze: | arXiv |
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