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ID 57814
フルテキストURL
著者
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
抄録
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.
キーワード
constant mean curvature
de Sitter space
analytic extension
備考
Mathematics Subject Classification 53A10, 53A35; 53C50.
発行日
2020-01
出版物タイトル
Mathematical Journal of Okayama University
62巻
1号
出版者
Department of Mathematics, Faculty of Science, Okayama University
開始ページ
179
終了ページ
195
ISSN
0030-1566
NCID
AA00723502
資料タイプ
学術雑誌論文
言語
英語
著作権者
Copyright©2020 by the Editorial Board of Mathematical Journal of Okayama University
論文のバージョン
publisher
査読
有り
Submission Path
mjou/vol62/iss1/4