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]
Copyright of Journal of Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
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  Data: Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal η‐Ricci Soliton.
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+Applied+Mathematics%22">Journal of Applied Mathematics</searchLink>. 7/21/2025, Vol. 2025, p1-8. 8p.
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  Data: 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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  Data: <i>Copyright of Journal of Applied Mathematics is the property of Wiley-Blackwell and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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        Value: 10.1155/jama/6684661
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      – Code: eng
        Text: English
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      – SubjectFull: Conformal geometry
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      – SubjectFull: Lorentz theory
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      – SubjectFull: Curvature
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      – TitleFull: Lorentzian Para‐Kenmotsu Manifolds Within the Framework of ∗‐Conformal η‐Ricci Soliton.
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            – D: 21
              M: 07
              Text: 7/21/2025
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              Y: 2025
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