A characterization of the homogeneous minimal ruled real hypersurface in a complex hyperbolic space

被引：12

作者：

Maeda, Sadahiro ^{[1
]}

Adachi, Toshiaki ^{[2
]}

Kim, Young Ho ^{[3
]}

机构：

[1] Saga Univ, Dept Math, Saga 8408502, Japan

[2] Nagoya Inst Technol, Dept Math, Nagoya, Aichi 4668555, Japan

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

来源：

JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN | 2009年 / 61卷 / 01期

关键词：

complex hyperbolic spaces; real hypersurfaces; totally geodesic complex hypersurfaces; homogeneous ruled real hypersurfaces; geodesics; horocycle-circles; integral curves of the chracteristic vector field; real hyperbolic planes; PROJECTIVE-SPACE; EXTRINSIC SHAPE; CURVATURES; GEODESICS; FORMS;

D O I：

10.2969/jmsj/06110315

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is well-known that there exist no homogeneous ruled real hypersurfaces in a complex projective space. On the contrary there exists the unique homogeneous ruled real hypersurface in a complex hyperbolic space. Moreover, it is minimal. We characterize geometrically this minimal homogeneous real hypersurface by properties of extrinsic shapes of some curves.

引用

页码：315 / 325

页数：11

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