Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal <i>η</i> ‐Ricci Soliton

The present article intends to study the ∗‐conformal η ‐Ricci soliton on n ‐LPK ( n ‐dimensional Lorentzian para‐Kenmotsu) manifolds with curvature constraints. On n ‐LPK, we derive certain results of ∗‐conformal η ‐Ricci soliton satisfying the Codazzi‐type equation, R ( ξ , L ) · S = 0, the projective flatness of the n ‐LPK manifold. At last, we conclude with an n ‐LPK manifold with conformal η ‐Ricci solitons using a suitable example.

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Journal
Journal of Applied Mathematics
Published
2025-01-01
DOI
https://doi.org/10.1155/jama/6684661
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
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article

Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal η ‐Ricci Soliton

Naveen Mani, Rahul Shukla, Arun Kumar Bhardwaj, Shyam Kishor
Journal of Applied Mathematics
Geometric Analysis and Curvature Flows
article

Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal η ‐Ricci Soliton

Naveen Mani, Rahul Shukla, Arun Kumar Bhardwaj, Shyam Kishor
article en

Abstract

The present article intends to study the ∗‐conformal η ‐Ricci soliton on n ‐LPK ( n ‐dimensional Lorentzian para‐Kenmotsu) manifolds with curvature constraints. On n ‐LPK, we derive certain results of ∗‐conformal η ‐Ricci soliton satisfying the Codazzi‐type equation, R ( ξ , L ) · S = 0, the projective flatness of the n ‐LPK manifold. At last, we conclude with an n ‐LPK manifold with conformal η ‐Ricci solitons using a suitable example.

Journal of Applied MathematicsVol. 2025(1)
Chandigarh University (IN), University of Lucknow (IN), Walter Sisulu University (ZA)
Openalex Percentile: Top 74%
Geometric Analysis and Curvature Flows
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