On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds
In this work, we consider almost contact metric manifolds. We investigate the generalized D-conformal deformations of nearly K-cosymplectic, quasi-Sasakian and <inline-formula> <math display="inline"> <semantics> <mi>β</mi> </semantics> </mat...
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| Format: | Article |
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MDPI AG
2019-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/7/2/168 |
| _version_ | 1818941199205007360 |
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| author | Nülifer Özdemir Şirin Aktay Mehmet Solgun |
| author_facet | Nülifer Özdemir Şirin Aktay Mehmet Solgun |
| author_sort | Nülifer Özdemir |
| collection | DOAJ |
| description | In this work, we consider almost contact metric manifolds. We investigate the generalized D-conformal deformations of nearly K-cosymplectic, quasi-Sasakian and <inline-formula> <math display="inline"> <semantics> <mi>β</mi> </semantics> </math> </inline-formula>-Kenmotsu manifolds. The new Levi⁻Civita covariant derivative of the new metric corresponding to deformed nearly K-cosymplectic, quasi-Sasakian and <inline-formula> <math display="inline"> <semantics> <mi>β</mi> </semantics> </math> </inline-formula>-Kenmotsu manifolds are obtained. Under some restrictions, deformed nearly K-cosymplectic, quasi-Sasakian and <inline-formula> <math display="inline"> <semantics> <mi>β</mi> </semantics> </math> </inline-formula>-Kenmotsu manifolds are obtained. Then, the scalar curvature of these three classes of deformed manifolds are analyzed. |
| first_indexed | 2024-12-20T06:51:44Z |
| format | Article |
| id | doaj.art-7b1364d96b9644fab491465aedc60f7a |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-20T06:51:44Z |
| publishDate | 2019-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-7b1364d96b9644fab491465aedc60f7a2022-12-21T19:49:32ZengMDPI AGMathematics2227-73902019-02-017216810.3390/math7020168math7020168On Generalized D-Conformal Deformations of Certain Almost Contact Metric ManifoldsNülifer Özdemir0Şirin Aktay1Mehmet Solgun2Department of Mathematics, Eskişehir Technical University, Eskişehir 26555, TurkeyDepartment of Mathematics, Eskişehir Technical University, Eskişehir 26555, TurkeyDepartment of Mathematics, Bilecik Şeyh Edebali University, Bilecik 11230, TurkeyIn this work, we consider almost contact metric manifolds. We investigate the generalized D-conformal deformations of nearly K-cosymplectic, quasi-Sasakian and <inline-formula> <math display="inline"> <semantics> <mi>β</mi> </semantics> </math> </inline-formula>-Kenmotsu manifolds. The new Levi⁻Civita covariant derivative of the new metric corresponding to deformed nearly K-cosymplectic, quasi-Sasakian and <inline-formula> <math display="inline"> <semantics> <mi>β</mi> </semantics> </math> </inline-formula>-Kenmotsu manifolds are obtained. Under some restrictions, deformed nearly K-cosymplectic, quasi-Sasakian and <inline-formula> <math display="inline"> <semantics> <mi>β</mi> </semantics> </math> </inline-formula>-Kenmotsu manifolds are obtained. Then, the scalar curvature of these three classes of deformed manifolds are analyzed.https://www.mdpi.com/2227-7390/7/2/168Riemannian manifoldsalmost contact metric structureD-conformal deformation |
| spellingShingle | Nülifer Özdemir Şirin Aktay Mehmet Solgun On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds Mathematics Riemannian manifolds almost contact metric structure D-conformal deformation |
| title | On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds |
| title_full | On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds |
| title_fullStr | On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds |
| title_full_unstemmed | On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds |
| title_short | On Generalized D-Conformal Deformations of Certain Almost Contact Metric Manifolds |
| title_sort | on generalized d conformal deformations of certain almost contact metric manifolds |
| topic | Riemannian manifolds almost contact metric structure D-conformal deformation |
| url | https://www.mdpi.com/2227-7390/7/2/168 |
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