Trajectories on real hypersurfaces of type (B) in a complex hyperbolic space are not of order 2 |
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| Authors: | Tuya Bao Toshiaki Adachi |
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| Affiliation: | 1. Division of Mathematics and Mathematical Science, Graduate School of Engineering, Nagoya Institute of Technology, Nagoya 466-8555, Japan;2. College of Mathematics, Inner Mongolian University for the Nationalities, Tongliao, Inner Mongolia 028043, People?s Republic of China;3. Department of Mathematics, Nagoya Institute of Technology, Nagoya 466-8555, Japan |
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| Abstract: | On a real hypersurface in a Kähler manifold we can consider a natural closed 2-form associated with the almost contact metric structure induced by Kähler 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. |
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