CHARACTERISATIONS OF GEODESIC HYPERSPHERES IN A NON-FLAT COMPLEX SPACE FORM

DOI10.1017/S0017089512000456zbMath1258.53060OpenAlexW1986839473MaRDI QIDQ4899940

Sadahiro Maeda, Young Ho Kim, Toshiaki Adachi

Publication date: 10 January 2013

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089512000456

zbMATH Keywords

geodesicscontact formgeodesic hyperspheretotally \(\eta\)-umbilic real hypersurfaces

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (2)

Sectional curvatures of homogeneous real hypersurfaces of types (A) and (B) in a complex projective space ⋮ Trajectories on real hypersurfaces of type (A2) which can be seen as circles in a complex hyperbolic space

Cites Work

• Three real hypersurfaces some of whose geodesics are mapped to circles with the same curvature in a nonflat complex space form
• Real hypersurfaces of a complex hyperbolic space
• Real hypersurfaces of complex projective spaces
• Submanifolds in Euclidean space with simple geodesics
• Real hypersurfaces in a complex projective space with constant principal curvatures
• Planar geodesic immersions
• Characterizations of geodesic hyperspheres in a projective space by observing the extrinsic shape of geodesics
• Length spectrum of geodesic spheres in a non-flat complex space form.
• A characterization of all homogeneous real hypersurfaces in a complex projective space by observing the extrinsic shape of geodesics
• Geodesics on real hypersurfaces of type \(A_{2}\) in a complex space form
• On real hypersurfaces of a complex projective space
• Hopf hypersurfaces with constant principal curvatures in complex projective or complex hyperbolic spaces

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