Analytic extensions of constant mean curvature one geometric catenoids in de Sitter 3-space

被引：2

作者：

Fujimori, S. ^{[1
]}

Kawakami, Y. ^{[2
]}

Kokubu, M. ^{[3
]}

Rossman, W. ^{[4
]}

Umehara, M. ^{[5
]}

Yamada, K. ^{[6
]}

Yang, S. -D. ^{[7
]}

机构：

[1] Hiroshima Univ, Dept Math, Higashihiroshima, Higashihiroshima, Hiroshima 7398526, Japan

[2] Kanazawa Univ, Fac Math & Phys, Kanazawa, 9201192, Japan

[3] Tokyo Denki Univ, Sch Engn, Dept Math, Tokyo 1208551, Japan

[4] Kobe Univ, Fac Sci, Dept Math, Kobe 6578501, Japan

[5] Tokyo Inst Technol, Dept Math & Comp Sci, 2-12-1-W8-34 O Okayama,Meguro Ku, Tokyo 1528552, Japan

[6] Tokyo Inst Technol, Dept Math, Meguro, Tokyo 1528551, Japan

[7] Korea Univ, Dept Math, Seoul 136701, South Korea

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2022年 / 84卷

基金：

新加坡国家研究基金会; 日本学术振兴会;

关键词：

Analytic completeness; Analytic extension; DC-manifold; ONE SURFACES;

D O I：

10.1016/j.difgeo.2022.101924

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a certain simply-stated notion of "analytic completeness" of the image of a real analytic map implies the map admits no analytic extension. We also give a useful criterion for that notion of analytic completeness by defining arc-properness of continuous maps, which can be considered as a very weak version of properness. As an application, we judge the analytic completeness of a certain class of constant mean curvature surfaces (the so-called "G-catenoids") or their analytic extensions in the de Sitter 3-space.(c) 2022 Elsevier B.V. All rights reserved.

引用

页数：35