复双曲空间中全η-脐带实超曲面的勒让德磁流

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2023-11-19 DOI:10.1016/j.difgeo.2023.102074

Qingsong Shi , Toshiaki Adachi

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引用次数: 0

摘要

本文研究了复双曲空间中全测地线复超曲面上全测地线复超曲面上全测地线复超曲面上sasaki磁场的轨迹。考虑由与特征向量场正交的单位切向量构成的子束，与该子束上的轨迹相关联的流对于每个测地线球都是平滑共轭的，并且对于一个天球和每个管分别分为两类和三类。

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Legendre magnetic flows for totally η-umbilic real hypersurfaces in a complex hyperbolic space

We study trajectories for Sasakian magnetic fields on horospheres, on geodesic spheres and on tubes around totally geodesic complex hypersurfaces in a complex hyperbolic space. Considering the subbundle formed by unit tangent vectors orthogonal to the characteristic vector field, flows associated with trajectories on this subbundle are smoothly conjugate to each other for each geodesic sphere, and are classified into two and three classes for a horosphere and for each tube, respectively.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.