Totally geodesic immersions of Kähler manifolds and Kähler Frenet curves

DOI10.1007/s00209-005-0881-yzbMath1090.53030OpenAlexW1969185917MaRDI QIDQ818782

Sadahiro Maeda, Hiromasa Tanabe

Publication date: 21 March 2006

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

Full work available at URL: https://doi.org/10.1007/s00209-005-0881-y

zbMATH Keywords

Kähler manifoldsreal space formsparallel isometric immersionsKähler Frenet curvestotally geodesic immersions

Mathematics Subject Classification ID

Global submanifolds (53C40) Local differential geometry of Hermitian and Kählerian structures (53B35)

Related Items

Totally geodesic Kähler immersions in view of curves of order two ⋮ A practical criterion for some submanifolds to be totally geodesic ⋮ A characterization of isotropic immersions by extrinsic shapes of smooth curves ⋮ Sectional curvatures of ruled real hypersurfaces in a complex hyperbolic space ⋮ A note on isometric immersions of the Cayley projective plane and Frenet curves ⋮ A comparison theorem on sectors for Kähler magnetic fields

Cites Work

• A characterization of the second Veronese embedding into a complex projective space.
• On the Landau levels on the hyperbolic plane
• Helical geodesic immersions into complex space forms
• Symmetric submanifolds of Euclidean space
• Submanifolds in Euclidean space with simple geodesics
• Planar geodesic immersions
• Characterizations of geodesic hyperspheres in a projective space by observing the extrinsic shape of geodesics
• Immersions with parallel second fundamental form
• On circles and spheres in Riemannian geometry
• A characterization of the Veronese varieties

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