Legendre magnetic flows for totally \(\eta\)-umbilic real hypersurfaces in a complex hyperbolic space

DOI10.1016/j.difgeo.2023.102074OpenAlexW4388812491MaRDI QIDQ6123252

Toshiaki Adachi, Qingsong Shi

Publication date: 4 March 2024

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

Full work available at URL: https://doi.org/10.1016/j.difgeo.2023.102074

zbMATH Keywords

geodesic sphereshorospherescomplex hyperbolic spaceSasakian magnetic fieldsLegendre magnetic flows

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Local differential geometry of Hermitian and Kählerian structures (53B35)

Cites Work

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• Geometric meaning of Sasakian space forms from the viewpoint of submanifold theory
• Sectional curvatures of geodesic spheres in a complex hyperbolic space
• Trajectories on geodesic spheres in a non-flat complex space form
• Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
• Magnetic curves in Sasakian manifolds
• Riemannian geometry of contact and symplectic manifolds
• Circular trajectories on real hypersurfaces in a nonflat complex space form
• A NOTE ON LEGENDRE TRAJECTORIES ON SASAKIAN SPACE FORMS

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