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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Bibliographic Details
Main Authors: Mustafa Özkan, Seher Doğan
Format: Article
Language:English
Published: Wiley 2022-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2022/6940387
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Summary: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.
ISSN:2314-4785