Bounded circles on a complex hyperbolic space are expressed by trajectories on geodesic spheres

zbMATH Open1544.53045MaRDI QIDQ6600680

Y. Aoki, Toshiaki Adachi

Publication date: 10 September 2024

Published in: Comptes Rendus Mathématiques de l'Académie des Sciences (Search for Journal in Brave)

zbMATH Keywords

geodesic spherescirclesextrinsic shapescongruentcomplex torsions

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Sub-Riemannian geometry (53C17)

Cites Work

• Title not available (Why is that?)
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• Extrinsic circular trajectories on totally \(\eta\)-umbilic real hypersurfaces in a complex hyperbolic space
• Trajectories on geodesic spheres in a non-flat complex space form
• Helical geodesic immersions into complex space forms
• Planar geodesic immersions
• Global behaviours of circles in a complex hyperbolic space
• Length spectrum of geodesic spheres in a non-flat complex space form.
• Kähler magnetic flows for a manifold of constant holomorphic sectional curvature
• On circles and spheres in Riemannian geometry

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