Geometry of lightlike hypersurfaces of an indefinite Sasakian manifold

DOI10.1007/s13226-010-0032-yzbMath1202.53024OpenAlexW2046025692MaRDI QIDQ1959031

Yanyan Li

Publication date: 1 October 2010

Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13226-010-0032-y

zbMATH Keywords

indefinite Sasakian manifoldtotally umbilicalscreen conformal

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Local submanifolds (53B25) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (14)

Lightlike hypersurfaces of indefinite generalized Sasakian space forms ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Conformal \(\eta\)-Ricci-Yamabe solitons within the framework of \(\epsilon\)-LP-Sasakian 3-manifolds ⋮ On contact screen conformal null submanifolds ⋮ Lightlike Hypersurfaces in Semi-Riemmanian Manifolds Admitting Affine Conformal Vector Fields ⋮ Some remarks on quasi-generalized CR-null geometry in indefinite nearly cosymplectic manifolds ⋮ Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature ⋮ Lightlike hypersurfaces in spaces with concircular fields ⋮ Characterizations of the total space (indefinite trans-Sasakian manifolds) admitting a semi-symmetric metric connection ⋮ Remarks on screen integrable null hypersurfaces in Lorentzian manifolds ⋮ Characteristic lightlike submanifolds of an indefinite \(\mathcal S\)-manifold ⋮ Unnamed Item ⋮ Lightlike Hypersurfaces of an Indefinite Nearly Trans-Sasakian Manifold with an (l,m)-type Connection

Cites Work

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• A classification of Einstein lightlike hypersurfaces of a Lorentzian space form
• Lightlike submanifolds of indefinite Sasakian manifolds
• Generalized Cauchy-Riemann lightlike submanifolds of indefinite Sasakian manifolds
• Lightlike hypersurfaces of indefinite Sasakian manifolds
• Sasakian manifold with pseudo-Riemannian metric
• Sasakian manifolds with constant \(\phi\)-holomorphic sectional curvature
• SCREEN CONFORMAL LIGHTLIKE REAL HYPERSURFACES OF AN INDEFINITE COMPLEX SPACE FORM

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