Circular trajectories on real hypersurfaces in a nonflat complex space form

DOI10.1007/S00022-010-0032-4zbMath1196.53036OpenAlexW1974156602MaRDI QIDQ5962050

Tuya Bao, Toshiaki Adachi

Publication date: 16 September 2010

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-010-0032-4

zbMATH Keywords

circlesreal hypersurfacesnonflat complex space formsSasakian magnetic fields

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geodesics in global differential geometry (53C22) Global submanifolds (53C40)

Related Items (11)

Extrinsic circular trajectories on real hypersurfaces of type \((\mathrm{A}_2)\) in a complex projective space ⋮ Foliation on the moduli space of extrinsic circular trajectories on a complex hyperbolic space ⋮ Legendre magnetic flows for totally \(\eta\)-umbilic real hypersurfaces in a complex hyperbolic space ⋮ Trajectories on real hypersurfaces of type (B) in a complex hyperbolic space are not of order 2 ⋮ Magnetic trajectories in an almost contact metric manifold \(\mathbb R^{2N+1}\) ⋮ Kähler magnetic fields on Kähler manifolds of negative curvature ⋮ Trajectories for Sasakian magnetic fields on real hypersurfaces of type (B) in a complex hyperbolic space ⋮ Characterizations of some homogeneous Hopf real hypersurfaces in a nonflat complex space form by extrinsic shapes of trajectories ⋮ Trajectories on real hypersurfaces of type (A2) which can be seen as circles in a complex hyperbolic space ⋮ Magnetic curves in Sasakian manifolds ⋮ Estimates on arc-lengths of trajectory-fronts for surface magnetic fields

Cites Work

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• Trajectories on geodesic spheres in a non-flat complex space form
• Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
• Geodesics on real hypersurfaces of type \(A_{2}\) in a complex space form
• Sasakian curves on hypersurfaces in a nonflat complex space form
• Differential geometry of geodesic spheres.
• Constancy of holomorphic sectional curvature in almost Hermitian manifolds

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