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Journals / Turkish Journal of Mathematics / 2015 / Cilt: 39 - Sayı: 6

On metallic Riemannian structures

Aydın GEZER, Çağrı KARAMAN

Pages
954–962
DOI
—

Abstract

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.

Özet

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.

Keywords: Conformal metric, metallic structure, pure tensor, Riemannian manifold, tensor bundle, twin metric