Published December 22, 2022 | Version v1

Curvature Properties of Invariant Hypersurfaces of LP-Sasakian Manifolds

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We investigate invariant hypersurfaces of Lorentzian para-Sasakian (LP-Sasakian) manifolds. Let (M ̅ ,ϕ,ξ,η,g ̅ ) be an LP-Sasakian manifold and M an invariant hypersurface. We establish formulas relating the curvature tensors of M and M ̅, and compute expressions for the Ricci tensor of M when M is invariant.

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Journal article: https://ijsrst.com/IJSRST52310491 (URL)