Mathematical Journal of Okayama University 62巻 1号

2020-01 発行

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 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.

Keywords

constant mean curvature

de Sitter space

analytic extension

Comments

Mathematics Subject Classification 53A10, 53A35; 53C50.