Behaviors of circular trajectories on hypersurfaces of type (A1) in a complex hyperbolic space

Kodai Mathematical Journal

Tuya Bao¹  Toshiaki Adachi² 

[1] Division of Mathematics and Mathematical Science Graduate School of Engineering Nagoya Institute of Technology;Department of Mathematics Nagoya Institute of Technology

关键词: geodesic spehres;    horospheres;    tubes around totally geodesic complex hypersurfaces;    Sasakian magnetic fields;    circular trajectories;    extrinsic shapes;    length spectrum;    complex hyperbolic spaces;   

DOI  :  10.2996/kmj/1320935555

学科分类：数学（综合）

来源: Tokyo Institute of Technology, Department of Mathematics

【 摘 要 】

References(11)We study circular trajectories for Sasakian magnetic fields on geodesic spheres, horospheres and tubes around totally geodesic complex hypersurfaces in a complex hyperbolic space. Investigating their extrinsic shapes in the ambient complex hyperbolic space, we give conditions for them to be bounded and to be closed. By use of information on lengths of circles in complex space forms, we give expressions of lengths of circular trajectories on those real hypersurfaces and show that their length spectrum is a discrete subset of a real line.

【 授权许可】

Unknown