Characterizations of geodesic hyperspheres in a projective space by observing the extrinsic shape of geodesics

DOI10.1007/PL00004625zbMath0916.53009OpenAlexW2022450269MaRDI QIDQ1284350

Sadahiro Maeda, Koichi Ogiue

Publication date: 21 April 1999

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/pl00004625

zbMATH Keywords

geodesicscomplex projective spacecirclesreal hypersurfacesgeodesic hyperspheres

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Local submanifolds (53B25)

Related Items (7)

Totally geodesic immersions of Kähler manifolds and Kähler Frenet curves ⋮ Space forms from the viewpoint of their geodesic spheres ⋮ A practical criterion for some submanifolds to be totally geodesic ⋮ Three real hypersurfaces some of whose geodesics are mapped to circles with the same curvature in a nonflat complex space form ⋮ CHARACTERISATIONS OF GEODESIC HYPERSPHERES IN A NON-FLAT COMPLEX SPACE FORM ⋮ Characterization of totally \(\eta\)-umbilic real hypersurfaces in nonflat complex space forms by some inequality ⋮ A characterization of the homogeneous minimal ruled real hypersurface in a complex hyperbolic space

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