Generic submanifolds

DOI10.1007/BF01796540zbMath0441.53043OpenAlexW4256515640MaRDI QIDQ1143026

Masahiro Kon, Kentaro Yano

Publication date: 1980

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01796540

zbMATH Keywords

Sasakian manifoldsgeneric submanifoldsKaehlerian manifoldsRiemannian fibre bundles

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global submanifolds (53C40) Methods of local Riemannian geometry (53B21)

Related Items (14)

Submanifolds in differentiable manifolds endowed with differential- geometric structures. V: CR-submanifolds in a manifold of almost-complex structure ⋮ Conformal generic submersions ⋮ Generic submanifolds of Sasakian manifolds ⋮ Generic submanifolds of complex projective spaces with parallel mean curvature vector ⋮ Differential geometry of CR-submanifolds ⋮ Unnamed Item ⋮ Contact CR submanifolds ⋮ Generic submersions from Kaehler manifolds ⋮ On generic submanifolds of manifolds endowed with metric mixed 3-structures ⋮ Generic submanifolds of almost contact metric manifolds ⋮ Scalar curvature and real submanifolds of codimension 2 of a complex projective space ⋮ Certain submanifolds of real codimension two of a complex projective space ⋮ Submanifolds of differentiable manifolds endowed with differential- geometric structures. IV: Submanifolds of codimension 1 of manifolds with an almost-complex structure ⋮ Biwarped product submanifolds of a Kähler manifold

Cites Work

• Pseudo-Einstein real hypersurfaces in complex space forms
• Real hypersurfaces in a complex projective space with constant principal curvatures
• Real hypersurfaces in a complex projective space with constant principal curvatures. II
• Totally real submanifolds of complex space forms. I. II
• Compact real submanifolds of a complex manifold with nondegenerate holomorphic tangent bundles
• Minimal varieties in Riemannian manifolds
• Homogeneity and some curvature conditions for hypersurfaces
• Rigidity theorems in rank-1 symmetric spaces
• Some remarks on minimal submanifolds
• Submanifolds with parallel mean curvature vector
• Untermannigfaltigkeiten mit paralleler zweiter Fundamentalform in Euklidischen Räumen und Sphären
• Kaehler immersions with vanishing Bochner curvature tensors
• On Totally Real Submanifolds
• On Some Real Hypersurfaces of a Complex Projective Space
• ON INTEGRABILITY CONDITIONS OF A STRUCTURE f SATISFYING f³+f=0
• On real hypersurfaces of a complex projective space
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