A practical criterion for some submanifolds to be totally geodesic

DOI10.1007/S00605-005-0379-ZzbMath1105.53014OpenAlexW2010842016MaRDI QIDQ857850

Sadahiro Maeda, Young Ho Kim

Publication date: 5 January 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-005-0379-z

Mathematics Subject Classification ID

Global submanifolds (53C40) Local submanifolds (53B25)

Related Items (1)

CHARACTERIZATIONS OF HYPERSURFACES OF TYPE A₂ IN A COMPLEX PROJECTIVE SPACE

Cites Work

• A characterization of the second Veronese embedding into a complex projective space.
• Totally geodesic immersions of Kähler manifolds and Kähler Frenet curves
• Real hypersurfaces of complex projective spaces
• On the Landau levels on the hyperbolic plane
• Characterizations of geodesic hyperspheres in a projective space by observing the extrinsic shape of geodesics
• Characterization of totally umbilic hypersurfaces in a space form by circles
• Isoparametric hypersurfaces with less than four principal curvatures in a sphere
• Geometric Meaning of Isoparametric Hypersurfaces in a Real Space Form

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