ON CERTAIN CLASSES OF CONFORMALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS.

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Title: ON CERTAIN CLASSES OF CONFORMALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS.
Authors: PRASAD, K. L. SAI1 klsprasad@yahoo.com, NAVEEN, P.2 potnuru123@gmail.com, DEVI, S. SUNITHA3 sunithamallakula@yahoo.com
Source: Reliability: Theory & Applications. Jun2024, Vol. 19 Issue 2, p446-453. 8p.
Subjects: Lorentzian function, Manifolds (Mathematics)
Abstract: n this present paper, we classify and explore the geometrical significance of a class of Lorentzian almost paracontact metric manifolds namely Lorentzian para-Kenmotsu (briefly LP-Kenmotsu) mani- folds whenever the manifolds are either conformally flat or conformally symmetric. It was found that a conformally flat LP-Kenmotsu manifold is of constant curvature and a conformally symmetric LP-Kenmotsu manifold is locally isomorphic to a unit sphere. At the end, we obtain the scalar curvature of φ-conformally flat LP-Kenmotsu manifolds [ABSTRACT FROM AUTHOR]
Copyright of Reliability: Theory & Applications is the property of International Group on Reliability 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: ON CERTAIN CLASSES OF CONFORMALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS.
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  Data: <searchLink fieldCode="AR" term="%22PRASAD%2C+K%2E+L%2E+SAI%22">PRASAD, K. L. SAI</searchLink><relatesTo>1</relatesTo><i> klsprasad@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22NAVEEN%2C+P%2E%22">NAVEEN, P.</searchLink><relatesTo>2</relatesTo><i> potnuru123@gmail.com</i><br /><searchLink fieldCode="AR" term="%22DEVI%2C+S%2E+SUNITHA%22">DEVI, S. SUNITHA</searchLink><relatesTo>3</relatesTo><i> sunithamallakula@yahoo.com</i>
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  Data: <searchLink fieldCode="JN" term="%22Reliability%3A+Theory+%26+Applications%22">Reliability: Theory & Applications</searchLink>. Jun2024, Vol. 19 Issue 2, p446-453. 8p.
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  Data: <searchLink fieldCode="DE" term="%22Lorentzian+function%22">Lorentzian function</searchLink><br /><searchLink fieldCode="DE" term="%22Manifolds+%28Mathematics%29%22">Manifolds (Mathematics)</searchLink>
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  Label: Abstract
  Group: Ab
  Data: n this present paper, we classify and explore the geometrical significance of a class of Lorentzian almost paracontact metric manifolds namely Lorentzian para-Kenmotsu (briefly LP-Kenmotsu) mani- folds whenever the manifolds are either conformally flat or conformally symmetric. It was found that a conformally flat LP-Kenmotsu manifold is of constant curvature and a conformally symmetric LP-Kenmotsu manifold is locally isomorphic to a unit sphere. At the end, we obtain the scalar curvature of φ-conformally flat LP-Kenmotsu manifolds [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Reliability: Theory & Applications is the property of International Group on Reliability 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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      – Code: eng
        Text: English
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        PageCount: 8
        StartPage: 446
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        Type: general
      – SubjectFull: Manifolds (Mathematics)
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      – TitleFull: ON CERTAIN CLASSES OF CONFORMALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS.
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              Text: Jun2024
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              Y: 2024
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