CONTACT HYPERSURFACES IN KAHLER MANIFOLDS

被引：0

作者：

Berndt, Urgen ^{[1
]}

Suh, Young Jin ^{[2
]}

机构：

[1] Kings Coll London, Dept Math, London WC2R 2LS, England

[2] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 06期

基金：

新加坡国家研究基金会;

关键词：

Contact hypersurfaces; constant mean curvature; normal Jacobi operator; complex quadric; noncompact dual of complex quadric; TOTALLY GEODESIC SUBMANIFOLDS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A contact hypersurface in a Kahler manifold is a real hypersurface for which the induced almost contact metric structure determines a contact structure. We carry out a systematic study of contact hypersurfaces in Kahler manifolds. We then apply these general results to obtain classifications of contact hypersurfaces with constant mean curvature in the complex quadric Q(n) = SOn+2/SOnSO2 and its noncompact dual space Q(n*) = SOn,2o/SOnSO2 for n >= 3.

引用

页码：2637 / 2649

页数：13

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