SPACELIKE CONSTANT MEAN CURVATURE AND MAXIMAL SURFACES IN 3-DIMENSIONAL DE SITTER SPACE VIA IWASAWA SPLITTING

被引：0

作者：

Ogata, Yuta ^{[1
]}

机构：

[1] Kobe Univ, Dept Math, Fac Sci, Nada Ku, Rokkodai Cho 1-1, Kobe, Hyogo 6578501, Japan

来源：

TSUKUBA JOURNAL OF MATHEMATICS | 2016年 / 39卷 / 02期

关键词：

differential geometry; surface theory; integrable systems; singularities;

D O I：

10.21099/tkbjm/1461270060

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the construction of spacelike constant mean curvature (CMC) surfaces with mean curvature 0 <= H < 1 in 3-dimensional de Sitter space S-2,S-1, by using Iwasawa splitting. We also study their singularities and create some criteria for them.

引用

页码：259 / 284

页数：26

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