Mathematical Journal of Okayama University 62巻 1号
2020-01 発行

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

Fujimori, Shoichi Department of Mathematics, Hiroshima University
Kawakami, Yu Graduate School of Natural Science and Technology, Kanazawa University
Kokubu, Masatoshi Department of Mathematics, School of Engineering, Tokyo Denki University
Rossman, Wayne Department of Mathematics, Faculty of Science, Kobe University
Umehara, Masaaki Department of Mathematical and Computing Sciences, Tokyo Institute of Technology
Yamada, Kotaro Department of Mathematics, Tokyo Institute of Technology
Publication Date
2020-01
Abstract
Catenoids in de Sitter 3-space S31 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 S31 . Here we show that such exceptional catenoids have closed analytic extensions in S31 with interesting properties.
Keywords
constant mean curvature
de Sitter space
analytic extension
Comments
Mathematics Subject Classification 53A10, 53A35; 53C50.