复射影空间中B型实超曲面上Sasaki磁场下轨道
Trajectories for Sasakian Magnetic Fields on Real Hypersurfaces of Type B in Complex Projective Space
摘要:
研究流形上的曲线对认识流形有重要的作用,而曲线的指标是描述曲线的有力工具。本文计算了复射影空间中B型实超曲面上Sasaki磁场下二阶相切的轨道的外在测地曲率和外在复挠率。
Abstract:
The study of curves on manifolds plays an important role in the considering of manifolds, and the index of curves is a powerful tool for describing curves. In this paper, we calculate the extrinsic geodesic curvature and extrinsic complex torsion of extrinsic tangentially of order two trajectories for Sasakian magnetic fields on real hypersurfaces of type B in complex projective space.
参考文献
|
[1]
|
Sunada, T. (1993) Magnetic Flows on a Riemann Surface. Proceedings of KAIST Mathematics Workshop, 8, 93-108.
|
|
[2]
|
Adachi, T. (1995) Kähler Magnetic Flows for a Manifold of Constant Holomorphic Sectional Curvature. Tokyo Journal of Mathematics, 18, 473-483. [Google Scholar] [CrossRef]
|
|
[3]
|
Adachi, T. (2008) Trajectories on Geodesic Spheres in a Non-Flat Complex Space Form. Journal of Geometry, 90, 1-29. [Google Scholar] [CrossRef]
|
|
[4]
|
Kimura, M. (1986) Real hypersurfaces and Complex Submanifolds in Complex Projective Space. Transactions of the American Mathematical Society, 296, 137-149. [Google Scholar] [CrossRef]
|
|
[5]
|
Bao, T. and Adachi, T. (2016) Characterizations of Some Homogeneous Hopf Real Hypersurfaces in a Nonflat Complex Space Form by Extrinsic Shapes of Trajectories. Differential Geometry and Its Applications, 48, 104-118. [Google Scholar] [CrossRef]
|
|
[6]
|
Bao, T. and Adachi, T. (2017) Extrinsic Circular Trajectories on Geodesic Spheres in a Complex Projective Space. Osaka Journal of Mathematics, 54, 735-745.
|
|
[7]
|
Bao, T. and Adachi, T. (2019) Extrinsic Shapes of Trajectories on Real Hypersurfaces of Type (B) in a Complex Hyperbolic Space. 6th International Colloquium on Differential Geometry and Its Related Fields, Veliko Tarnovo, Bulgaria, 2018, 183-202. [Google Scholar] [CrossRef]
|