A Study on ϕ-Ricci Symmetric LP-Sasakian Manifolds

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DOI: https://doi.org/10.28924/2291-8639-23-2025-325
Published: Dec 12, 2025
Cite as:
Mantasha, N. V. C. Shukla, M. A. Qayyoom, Salahuddin, A Study on ϕ-Ricci Symmetric LP-Sasakian Manifolds, Int. J. Anal. Appl., 23 (2025), 325.

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Mantasha, N. V. C. Shukla, M. A. Qayyoom, Salahuddin

Abstract

The present paper is devoted to an in-depth study of ϕ-Ricci symmetric LP-Sasakian manifolds, which represent a significant class of Lorentzian para-Sasakian manifolds with rich geometric structures and distinctive curvature characteristics. The notion of ϕ-Ricci symmetry imposes specific constraints on the Ricci tensor in relation to the structure tensor ϕ, offering deeper insight into the curvature behavior and intrinsic geometry of these manifolds. This investigation aims to explore various fundamental properties of ϕ-Ricci symmetric LP-Sasakian manifolds, examining how these symmetry conditions influence their global and local geometric features. To support and illustrate the theoretical analysis, we construct an explicit example of a three-dimensional ϕ-Ricci symmetric LP-Sasakian manifold. Moreover, we study W1-flat LP-Sasakian manifold.

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