Trajectories on real hypersurfaces of type (A2) which can be seen as circles in a complex hyperbolic space
Trajectories on real hypersurfaces of type (A2) which can be seen as circles in a complex hyperbolic space
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DOI：
10.1285/i15900932v37suppl1p19
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发表时间：
2017-05
期刊：
影响因子：
--
通讯作者：
T. Adachi
中科院分区：
文献类型：
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作者：
T. Adachi
我们研究复杂双曲空间中完全测地线复杂子流形周围均匀管上 Sasak 磁场的轨迹。我们给出了它们可以被视为复杂双曲空间中的圆的条件，并展示了它们的同余类集合如何包含在圆的同余类集合中。鉴于测地曲率和作为轨迹的外在形状获得的圆的复杂扭转，我们在复杂双曲空间中的真实超曲面中描述了这些管。
We study trajectories for Sasakian magnetic fields on homogeneous tubes around totally geodesic complex submanifolds in a complex hyperbolic space. We give conditions that they can be seen as circles in a complex hyperbolic space, and show how the set of their congruence classes are contained in the set of those of circles. In view of geodesic curvatures and complex torsions of circles obtained as extrinsic shapes of trajectories, we characterize these tubes among real hypersurfaces in a complex hyperbolic space.