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

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Title: Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal η‐Ricci Soliton.
Authors: Kishor, Shyam1 (AUTHOR), Bhardwaj, Arun Kumar1 (AUTHOR), Mani, Naveen2 (AUTHOR), Shukla, Rahul3 (AUTHOR) rshukla@wsu.ac.za, Hazra, Arpan (AUTHOR) ahazra@wiley.com
Source: Journal of Applied Mathematics. 7/21/2025, Vol. 2025, p1-8. 8p.
Subjects: Manifolds (Mathematics), Conformal geometry, Lorentz theory, Curvature
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. [ABSTRACT FROM AUTHOR]
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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. [ABSTRACT FROM AUTHOR]
ISSN:1110757X
DOI:10.1155/jama/6684661