Differential geometry of Kaehler submanifolds

DOI10.1016/0001-8708(74)90066-8zbMath0275.53035OpenAlexW1989796177WikidataQ115369138 ScholiaQ115369138MaRDI QIDQ2265686

Koichi Ogiue

Publication date: 1974

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0001-8708(74)90066-8

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global submanifolds (53C40) Homogeneous complex manifolds (32M10)

Related Items (53)

Complex submanifolds of certain non-Kaehler manifolds ⋮ Submanifolds with proper d-planar geodesics immersed in complex projective spaces ⋮ Light-like \(CR\) hypersurfaces of indefinite Kähler manifolds ⋮ Minimal submanifolds in Sasakian space forms ⋮ SEMI-INVARIANT RIEMANNIAN MAPS TO KÄHLER MANIFOLDS ⋮ Gap theorems for minimal submanifolds of a hyperbolic space ⋮ Classfication of homogeneous two-spheres in \(G(2, 5; \mathbb{C})\) ⋮ Equivariant minimal immersions from \(S^3\) into \(\mathbb{C}P^3\) ⋮ Equivariant CR minimal immersions from \(S^3\) into \(\mathbb CP^n\) ⋮ Positively Curved Complex Submanifolds Immersed in a Complex Space Form ⋮ Helical geodesic immersions into complex space forms ⋮ Parallel Kähler submanifolds and 𝑅-spaces ⋮ An Integral Formula on the Scalar Curvature of Algebraic Manifolds ⋮ The volume of tubes in complex space forms ⋮ Totally complex submanifolds of a quaternionic Kaehlerian manifold ⋮ Contact CR-submanifolds of an indefinite Lorentzian para-Sasakian manifold ⋮ Minimal submanifolds in \(\mathrm{Sol}_1^4\) ⋮ Spectral geometry of closed minimal submanifolds in a space form, real or complex ⋮ Curvature pinching for complete Kähler submanifolds of a complex projective space ⋮ Minimal submanifolds in \(\mathrm{Sol}_0^4\) ⋮ Compact minimal CR submanifolds of a complex projective space with positive Ricci curvature ⋮ On the classification of homogeneous 2-spheres in complex Grassmannians ⋮ The area of the generalized Gaussian image and the stability of minimal surfaces in \(S^ n\) and \(R^ n\). ⋮ Conformal semi-invariant submersions ⋮ A characterization of the Veronese varieties ⋮ PINCHING THEOREMS FOR A COMPACT MINIMAL SUBMANIFOLD IN A COMPLEX PROJECTIVE SPACE ⋮ Constant curved minimal CR 3-spheres in CPⁿ ⋮ Semi-invariant Riemannian maps from almost Hermitian manifolds ⋮ On strongly minimal Kähler surfaces in \(\mathbb{C}^3\) and the Equality \(\mathrm{scal}(p) = 4 \inf \mathrm{sec}(\pi^r)\) ⋮ Minimal 2-spheres in a complex projective space ⋮ COMPLETE CLASSIFICATION OF PARALLEL LORENTZIAN SURFACES IN LORENTZIAN COMPLEX SPACE FORMS ⋮ INVARIANT AND ANTI-INVARIANT RIEMANNIAN MAPS TO KÄHLER MANIFOLDS ⋮ Real Hypersurfaces and Complex Submanifolds in Complex Projective Space ⋮ Space-like Einstein Kähler submanifolds in an indefinite complex hyperbolic space ⋮ Invariant submanifolds in Sasakian manifolds ⋮ Kähler submanifolds whose Ricci curvature is bounded from below ⋮ Complex hypersurfaces of \(P_n(C)\times P_n(C)\) ⋮ Ricci Tensors of Real Hypersurfaces in a Complex Projective Space ⋮ Lorentzian geometry of CR submanifolds ⋮ Geometry of Holomorphic Distributions of Real Hypersurfaces in a Complex Projective Space ⋮ On the Chern forms of Kaehler hypersurfaces in complex space forms ⋮ Sous-variétés complexes d'Einstein de l'espace projectif ⋮ Pinching for holomorphic curves in a complex Grassmann manifold \(G(2,n;\mathbb{C})\) ⋮ Complex Space Forms Immersed in Complex Space Forms ⋮ On the Scalar Curvature and Sectional Curvatures of a Kaehler Submanifold ⋮ The rigidity on the second fundamental form of projective manifolds ⋮ Recent developments in Wintgen inequality and Wintgen ideal submanifolds ⋮ Positively Curved Kaehler Submanifolds ⋮ On the invariant submanifold of a CR-manifold ⋮ Curvature pinching and eigenvalue rigidity for minimal submanifolds ⋮ A characterisation of Riemannian foliations and totally umbilical submanifolds ⋮ Spectral geometry of compact Hermitian symmetric submanifolds ⋮ Einstein Kähler submanifolds with codimension 2 in a complex space form

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