On semi-parallel lightlike hypersurfaces of indefinite Kenmotsu manifolds

DOI10.1007/s00022-010-0021-7zbMath1188.53020OpenAlexW2046440994MaRDI QIDQ2380491

Fortuné Massamba

Publication date: 26 March 2010

Published in: Journal of Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00022-010-0021-7

zbMATH Keywords

screen distributionsemi-parallellightlike hypersurfacesindefinite Kenmotsu space form

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Local submanifolds (53B25)

Related Items (14)

Quasi generalized CR-lightlike submanifolds of indefinite nearly Sasakian manifolds ⋮ Higher order mean curvatures of SAC half-lightlike submanifolds of indefinite almost contact manifolds ⋮ Unnamed Item ⋮ A conformal connection on null hypersurfaces of indefinite Kenmotsu manifolds ⋮ Lightlike hypersurfaces in indefinite trans-Sasakian manifolds ⋮ Symmetries of null geometry in indefinite Kenmotsu manifolds ⋮ PSEUDOSYMMETRIC LIGHTLIKE HYPERSURFACES IN INDEFINITE SASAKIAN SPACE FORMS ⋮ Almost Weyl structures on null geometry in indefinite Kenmotsu manifolds ⋮ A note on quasi-generalized CR-lightlike geometry in indefinite nearly μ-Sasakian manifolds ⋮ On total mean curvatures of foliated half-lightlike submanifolds in semi-Riemannian manifolds ⋮ Some remarks on quasi-generalized CR-null geometry in indefinite nearly cosymplectic manifolds ⋮ On parallelism of half-lightlike submanifolds of indefinite Kenmotsu manifolds ⋮ On lightlike geometry in indefinite Kenmotsu manifolds ⋮ A Ricci-type flow on globally null manifolds and its gradient estimates

Cites Work

• Curvature of indefinite almost contact manifolds
• Semi-parallel surfaces in Euclidean space
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). II. Global versions
• Almost contact structures and curvature tensors
• Structure theorems on Riemannian spaces satisfying \(R(X,Y)\cdot R=0\). I: The local version
• Totally contact umbilical light-like hypersurfaces of indefinite Sasakian manifolds
• A class of almost contact Riemannian manifolds
• Riemannian geometry of contact and symplectic manifolds
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