Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds
A Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric. The cases when the given manifold is cosymplectic or Sasaki-like are stu...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/4/658 |
| _version_ | 1797478317003112448 |
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| author | Mancho Manev |
| author_facet | Mancho Manev |
| author_sort | Mancho Manev |
| collection | DOAJ |
| description | A Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric. The cases when the given manifold is cosymplectic or Sasaki-like are studied. In this manner, manifolds are obtained that belong to one of the main classes of the studied manifolds. The same class contains the conformally equivalent manifolds of cosymplectic manifolds by the usual conformal transformation of the B-metric on contact distribution. In both cases, explicit five-dimensional examples are given, which are characterized in relation to the results obtained. |
| first_indexed | 2024-03-09T21:30:15Z |
| format | Article |
| id | doaj.art-2bdfc80555eb457baf886ed521d6f2ba |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T21:30:15Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-2bdfc80555eb457baf886ed521d6f2ba2023-11-23T20:58:10ZengMDPI AGMathematics2227-73902022-02-0110465810.3390/math10040658Yamabe Solitons on Some Conformal Almost Contact B-Metric ManifoldsMancho Manev0Department of Algebra and Geometry, Faculty of Mathematics and Informatics, University of Plovdiv Paisii Hilendarski, 24 Tzar Asen St, 4000 Plovdiv, BulgariaA Yamabe soliton is defined on an arbitrary almost-contact B-metric manifold, which is obtained by a contact conformal transformation of the Reeb vector field, its dual contact 1-form, the B-metric, and its associated B-metric. The cases when the given manifold is cosymplectic or Sasaki-like are studied. In this manner, manifolds are obtained that belong to one of the main classes of the studied manifolds. The same class contains the conformally equivalent manifolds of cosymplectic manifolds by the usual conformal transformation of the B-metric on contact distribution. In both cases, explicit five-dimensional examples are given, which are characterized in relation to the results obtained.https://www.mdpi.com/2227-7390/10/4/658Yamabe solitonalmost contact B-metric manifoldalmost contact complex Riemannian manifoldSasaki-like manifold |
| spellingShingle | Mancho Manev Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds Mathematics Yamabe soliton almost contact B-metric manifold almost contact complex Riemannian manifold Sasaki-like manifold |
| title | Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds |
| title_full | Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds |
| title_fullStr | Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds |
| title_full_unstemmed | Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds |
| title_short | Yamabe Solitons on Some Conformal Almost Contact B-Metric Manifolds |
| title_sort | yamabe solitons on some conformal almost contact b metric manifolds |
| topic | Yamabe soliton almost contact B-metric manifold almost contact complex Riemannian manifold Sasaki-like manifold |
| url | https://www.mdpi.com/2227-7390/10/4/658 |
| work_keys_str_mv | AT manchomanev yamabesolitonsonsomeconformalalmostcontactbmetricmanifolds |