EXTRINSIC CIRCULAR TRAJECTORIES ON GEODESIC SPHERES IN A COMPLEX PROJECTIVE SPACE

• Bao Tuya

• Adachi Toshiaki

Abstract

We say a trajectory for a Sasakian magnetic field on a geodesic sphere in a complex projective space to be extrinsic circular if it can be seen as a circle in the ambient space. We study how the moduli space of extrinsic circular trajectories behaves in the moduli space of all circles in the ambient complex projective space. As an application we characterize the geodesic sphere of special radius which lies on the boundary position of the family of Berger spheres among all geodesic spheres and that has a characteristic properties from the viewpoint of lengths of circles.

Journal

• Osaka Journal of Mathematics

  Osaka Journal of Mathematics 54 (4), 735-745, 2017-10

  Osaka University and Osaka City University, Departments of Mathematics

Details

• CRID: 1390572174764039296
• NII Article ID: 120006378348
• NII Book ID: AA00765910
• DOI: 10.18910/67011
• HANDLE: 11094/67011
• ISSN: 00306126
• Web Site: https://dlisv03.media.osaka-cu.ac.jp/il/meta_pub/G0000438repository_111F0000002-05404-09
• Text Lang: en
• Data Source:
  • JaLC
  • IRDB
  • CiNii Articles
  • KAKEN