Contact real hypersurfaces in the complex hyperbolic quadric

被引：30

作者：

Klein, Sebastian ^{[1
]}

Suh, Young Jin ^{[2
,3
]}

机构：

[1] Univ Mannheim, Fak Wirtschaftsinformat & Wirtschaftsmath, Seminargebaude A5, D-68131 Mannheim, Germany

[2] Kyungpook Natl Univ, Coll Nat Sci, Dept Math, Daegu 41566, South Korea

[3] Kyungpook Natl Univ, Coll Nat Sci, RIRCM, Daegu 41566, South Korea

来源：

ANNALI DI MATEMATICA PURA ED APPLICATA | 2019年 / 198卷 / 04期

基金：

新加坡国家研究基金会;

关键词：

Contact hypersurface; Kahler structure; Complex conjugation; Complex hyperbolic quadric;

D O I：

10.1007/s10231-019-00827-y

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the geometry of contact real hypersurfaces with constant mean curvature in the complex hyperbolic quadric Qm=SOm,O2, where m >= 3. These hypersurfaces were classified in Berndt and Suh (Proc Am Math Soc 143:2637-2649, 2015), and we study the individual types (two types of tubes around totally geodesic submanifolds of Qm and one type of horosphere) that have been found in that classification.

引用

页码：1481 / 1494

页数：14

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