ON φ-CONHARMONICALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS.
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| Title: | ON φ-CONHARMONICALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS. |
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| Authors: | RAO, I. V. VENKATESWARA1 venkat_inturi@rediffmail.com, DEVI, S. SUNITHA2 sunithamallakula@yahoo.com, PRASAD, K. L. SAI3 klsprasad@yahoo.com |
| Source: | Reliability: Theory & Applications. Mar2024, Vol. 19 Issue 1, p764-769. 6p. |
| Subjects: | Lorentzian function, Einstein manifolds, Isomorphism (Mathematics) |
| Abstract: | The present paper deals with a class of Lorentzian almost paracontact metric manifolds namely Lorentzian para-Kenmotsu (briefly LP-Kenmotsu) manifolds. We study and have shown that a quasi-conformally flat Lorentzian para-Kenmotsu manifold is locally isomorphic with a unit sphere Sn(1). Further it is shown that an LP-Kenmotsu manifold which is φ-conharmonically flat is an η-Einstein manifold with the zero scalar curvature. At the end, we have shown that a φ-projectively flat LP-Kenmotsu manifold is an Einstein manifold with the scalar curvature r = n(n - 1). [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.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 177209543 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: ON φ-CONHARMONICALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22RAO%2C+I%2E+V%2E+VENKATESWARA%22">RAO, I. V. VENKATESWARA</searchLink><relatesTo>1</relatesTo><i> venkat_inturi@rediffmail.com</i><br /><searchLink fieldCode="AR" term="%22DEVI%2C+S%2E+SUNITHA%22">DEVI, S. SUNITHA</searchLink><relatesTo>2</relatesTo><i> sunithamallakula@yahoo.com</i><br /><searchLink fieldCode="AR" term="%22PRASAD%2C+K%2E+L%2E+SAI%22">PRASAD, K. L. SAI</searchLink><relatesTo>3</relatesTo><i> klsprasad@yahoo.com</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Reliability%3A+Theory+%26+Applications%22">Reliability: Theory & Applications</searchLink>. Mar2024, Vol. 19 Issue 1, p764-769. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Lorentzian+function%22">Lorentzian function</searchLink><br /><searchLink fieldCode="DE" term="%22Einstein+manifolds%22">Einstein manifolds</searchLink><br /><searchLink fieldCode="DE" term="%22Isomorphism+%28Mathematics%29%22">Isomorphism (Mathematics)</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The present paper deals with a class of Lorentzian almost paracontact metric manifolds namely Lorentzian para-Kenmotsu (briefly LP-Kenmotsu) manifolds. We study and have shown that a quasi-conformally flat Lorentzian para-Kenmotsu manifold is locally isomorphic with a unit sphere Sn(1). Further it is shown that an LP-Kenmotsu manifold which is φ-conharmonically flat is an η-Einstein manifold with the zero scalar curvature. At the end, we have shown that a φ-projectively flat LP-Kenmotsu manifold is an Einstein manifold with the scalar curvature r = n(n - 1). [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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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 764 Subjects: – SubjectFull: Lorentzian function Type: general – SubjectFull: Einstein manifolds Type: general – SubjectFull: Isomorphism (Mathematics) Type: general Titles: – TitleFull: ON φ-CONHARMONICALLY FLAT LORENTZIAN PARA-KENMOTSU MANIFOLDS. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: RAO, I. V. VENKATESWARA – PersonEntity: Name: NameFull: DEVI, S. SUNITHA – PersonEntity: Name: NameFull: PRASAD, K. L. SAI IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 03 Text: Mar2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 19322321 Numbering: – Type: volume Value: 19 – Type: issue Value: 1 Titles: – TitleFull: Reliability: Theory & Applications Type: main |
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