Trajectories on real hypersurfaces of type (B) in a complex hyperbolic space are not of order 2

被引：1

作者：

Bao, Tuya ^{[2
,3
]}

Adachi, Toshiaki ^{[1
]}

机构：

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

[2] Nagoya Inst Technol, Grad Sch Engn, Div Math & Math Sci, Nagoya, Aichi 4668555, Japan

[3] Inner Mongolian Univ Nationalities, Coll Math, Tongliao 028043, Inner Mongolia, Peoples R China

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2012年 / 30卷 / 04期

关键词：

Sasakian magnetic fields; Real hypersurfaces of type (B); Curves of order 2; Structure torsions; Principal curvatures;

D O I：

10.1016/j.difgeo.2012.05.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

On a real hypersurface in a kahler manifold we can consider a natural closed 2-form associated with the almost contact metric structure induced by kahler structure. Contrary to real hypersurfaces of type (A), on real hypersurfaces of type (B) in a complex hyperbolic space we show that non-geodesic trajectories under Sasakian magnetic fields, which are constant multiples of the natural closed 2-form, are not curves of order 2. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：301 / 305

页数：5

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