Mathematical Journal of Okayama University 62巻 1号
Department of Mathematics, Hiroshima University
Graduate School of Natural Science and Technology, Kanazawa University
Department of Mathematics, School of Engineering, Tokyo Denki University
Department of Mathematics, Faculty of Science, Kobe University
Department of Mathematical and Computing Sciences, Tokyo Institute of Technology
Department of Mathematics, Tokyo Institute of Technology
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.
Mathematics Subject Classification 53A10, 53A35; 53C50.