Semi-parallel hypersurfaces of a real space form

DOI10.1007/BF02776024zbMath0765.53012OpenAlexW2003942077WikidataQ124956039 ScholiaQ124956039MaRDI QIDQ1196310

Frankie Dillen

Publication date: 16 December 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02776024

zbMATH Keywords

principal curvaturesrotation hypersurface

Mathematics Subject Classification ID

Local submanifolds (53B25)

Related Items (22)

On invariant submanifolds of (LCS)\(_{n}\)-manifolds ⋮ Warped products in real space forms ⋮ Certain invariant submanifolds of generalized Sasakian-space-forms ⋮ Invariant submanifolds of Sasakian space forms ⋮ \(C\)-totally real pseudo-parallel submanifolds of Sasakian space forms ⋮ Classification of semi-parallel hypersurfaces of the product of two spheres ⋮ Unnamed Item ⋮ Semi-parallel Hopf real hypersurfaces in the complex quadric ⋮ Unnamed Item ⋮ The stress-energy tensor for biharmonic maps ⋮ Semi-parallel real hypersurfaces in complex two-plane Grassmannians ⋮ A classification of pseudo-parallel hypersurfaces of \(\mathbb{S}^n \times \mathbb{R}\) and \(\mathbb{H}^n \times \mathbb{R}\) ⋮ Some pinching and classification theorems for minimal submanifolds ⋮ Unnamed Item ⋮ ON EXTRINSICALLY SYMMETRIC HYPERSURFACES OF ℍⁿ×ℝ ⋮ Parallel and semi-parallel hypersurfaces of \(\mathbb{S}^n \times \mathbb R\) ⋮ PINCHING THEOREMS FOR TOTALLY REAL MINIMAL SUBMANIFOLDS INCPⁿ ⋮ CR-Submanifolds in Complex and Sasakian Space Forms ⋮ PSEUDO-PARALLEL KAEHLERIAN SUBMANIFOLDS IN COMPLEX SPACE FORMS ⋮ Second-order parallel tensors on \(\mathcal{S} \)-manifolds and semiparallel hypersurfaces of \(\mathcal{S} \)-space forms ⋮ Parallel affine immersions with maximal codimension ⋮ On invariant submanifolds of Kenmotsu manifolds

Cites Work

• Semi-parallel surfaces in Euclidean space
• Symmetric submanifolds of Euclidean space
• On symmetric submanifolds of spaces of constant curvature
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• Immersions with parallel second fundamental form
• Anwendungen der De Rhamschen Zerlegung auf Probleme der lokalen Flächentheorie
• Local rigidity theorems for minimal hypersurfaces
• Homogeneity and some curvature conditions for hypersurfaces
• Rotation Hypersurfaces in Spaces of Constant Curvature
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