Low-type submanifolds of real space forms via the immersions by projectors

DOI10.1016/j.difgeo.2009.01.010zbMath1175.53066OpenAlexW2049813815WikidataQ115357321 ScholiaQ115357321MaRDI QIDQ838019

Ivko Dimitric

Publication date: 21 August 2009

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2009.01.010

zbMATH Keywords

Laplacianreal space formfinite Chen-typesubmanifold of low-type

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (2)

H-hypersurfaces with three distinct principal curvatures in the Euclidean spaces ⋮ Differential Geometry of 1-type Submanifolds and Submanifolds with 1-type Gauss Map

Cites Work

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• Eigenvalue inequalities for minimal submanifols and P-manifolds
• On spectral geometry of Kähler submanifolds
• Spectral geometry of CR-minimal submanifolds in the complex projective space
• Spectral geometry of Kaehler submanifolds of a complex projective space
• Spectral geometry of minimal surfaces in the sphere
• An isometric embedding of the complex hyperbolic space in a pseudo- Euclidean space and its application to the study of real hypersurfaces
• A further method in global differential geometry
• 1-type submanifolds on non-Euclidean complex space forms
• Hypersurfaces of a sphere with 3-type quadric representation
• Minimum imbeddings of compact symmetric spaces of rank one
• Local rigidity theorems for minimal hypersurfaces
• A formula of Simons' type and hypersurfaces with constant mean curvature
• Hypersurfaces with parallel Ricci tensor
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Spherical hypersurfaces with low type quadric representation
• Spherical submanifolds which are of 2-type via the second standard immersion of the sphere
• On spectral decomposition of immersions of finite type

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