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

Fujimori, S.; Kawakami, Y.; Kokubu, M.; Rossman, W.; Umehara, M.; Yamada, K.; Yang, S. -D.

doi:10.1016/j.difgeo.2022.101924

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

Fujimori, S.;
Kawakami, Y.;
Kokubu, M.;
Rossman, W.;
Umehara, M.;
... Yang, S. -D.;
외 1명

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초록

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.

키워드

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

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

저자: Fujimori, S.; Kawakami, Y.; Kokubu, M.; Rossman, W.; Umehara, M.; Yamada, K.; Yang, S. -D.

DOI: 10.1016/j.difgeo.2022.101924

발행일: 2022-10

유형: Article

저널명: Differential Geometry and its Application

권: 84