Almost Bronze Structures on Differentiable Manifolds
This study introduces a novel structure that is not included in the metallic structure family. This new structure, which is called an almost bronze structure, has been defined using a 1,1 type tensor field φ which fulfills the requirement φ2=mφ−Id on a differentiable manifold. We investigated the pa...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2022/6940387 |
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| _version_ | 1832563301110775808 |
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| author | Mustafa Özkan Seher Doğan |
| author_facet | Mustafa Özkan Seher Doğan |
| author_sort | Mustafa Özkan |
| collection | DOAJ |
| description | This study introduces a novel structure that is not included in the metallic structure family. This new structure, which is called an almost bronze structure, has been defined using a 1,1 type tensor field φ which fulfills the requirement φ2=mφ−Id on a differentiable manifold. We investigated the parallelism and integrability conditions of these almost bronze structures by use of an almost product structure corresponding to them. Also, we have defined an almost bronze Riemannian manifold. |
| format | Article |
| id | doaj-art-88ba2dd429c84177a2b2ec4ae4a355ea |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-88ba2dd429c84177a2b2ec4ae4a355ea2025-02-03T01:20:34ZengWileyJournal of Mathematics2314-47852022-01-01202210.1155/2022/6940387Almost Bronze Structures on Differentiable ManifoldsMustafa Özkan0Seher Doğan1Department of MathematicsDepartment of MathematicsThis study introduces a novel structure that is not included in the metallic structure family. This new structure, which is called an almost bronze structure, has been defined using a 1,1 type tensor field φ which fulfills the requirement φ2=mφ−Id on a differentiable manifold. We investigated the parallelism and integrability conditions of these almost bronze structures by use of an almost product structure corresponding to them. Also, we have defined an almost bronze Riemannian manifold.http://dx.doi.org/10.1155/2022/6940387 |
| spellingShingle | Mustafa Özkan Seher Doğan Almost Bronze Structures on Differentiable Manifolds Journal of Mathematics |
| title | Almost Bronze Structures on Differentiable Manifolds |
| title_full | Almost Bronze Structures on Differentiable Manifolds |
| title_fullStr | Almost Bronze Structures on Differentiable Manifolds |
| title_full_unstemmed | Almost Bronze Structures on Differentiable Manifolds |
| title_short | Almost Bronze Structures on Differentiable Manifolds |
| title_sort | almost bronze structures on differentiable manifolds |
| url | http://dx.doi.org/10.1155/2022/6940387 |
| work_keys_str_mv | AT mustafaozkan almostbronzestructuresondifferentiablemanifolds AT seherdogan almostbronzestructuresondifferentiablemanifolds |