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TÜBİTAK

Turkish Journal of Mathematics

Journal

2015

Riemannian manifold

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Full-Text Articles in Physical Sciences and Mathematics

On Metallic Riemannian Structures, Aydin Gezer, Çağri Karaman Jan 2015

On Metallic Riemannian Structures, Aydin Gezer, Çağri Karaman

Turkish Journal of Mathematics

The paper is devoted to the study of metallic Riemannian structures. An integrability condition and curvature properties for these structures by means of a $\Phi $-operator applied to pure tensor fields are presented. Examples of these structures are also given.