Foliation on the moduli space of extrinsic circular trajectories on a complex hyperbolic space

DOI10.1016/J.TOPOL.2015.05.008zbMath1329.53104OpenAlexW389572069MaRDI QIDQ897419

Toshiaki Adachi

Publication date: 18 December 2015

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2015.05.008

zbMATH Keywords

trajectoriesgeodesic sphereshorospherescircleslength functionSasakian magnetic fieldsextrinsic shapeslamination on the moduli space of circles

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Geodesics in global differential geometry (53C22) Global submanifolds (53C40) Foliations (differential geometric aspects) (53C12)

Related Items (2)

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

Cites Work

• Unnamed Item
• A theorem of Hadamard-Cartan type for Kähler magnetic fields
• Trajectories on geodesic spheres in a non-flat complex space form
• Helical geodesic immersions into complex space forms
• Global behaviours of circles in a complex hyperbolic space
• Lamination of the moduli space of circles and their length spectrum for a non-flat complex space form
• A characterization of constant isotropic immersions by circles
• Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
• Extrinsic characterizations of circles in a complex projective space imbedded in a Euclidean space
• On circles and spheres in Riemannian geometry
• EXTRINSIC CIRCULAR TRAJECTORIES ON GEODESIC SPHERES IN A COMPLEX PROJECTIVE SPACE
• A DYNAMICAL SYSTEMATIC ASPECT OF HOROCYCLIC CIRCLES IN A COMPLEX HYPERBOLIC SPACE
• Distribution of length spectrum of circles on a complex hyperbolic space
• Circular trajectories on real hypersurfaces in a nonflat complex space form

This page was built for publication: Foliation on the moduli space of extrinsic circular trajectories on a complex hyperbolic space