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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
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.
constant mean curvature
de Sitter space
Mathematics Subject Classification 53A10, 53A35; 53C50.
Mathematical Journal of Okayama University
Department of Mathematics, Faculty of Science, Okayama University
Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University