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arXiv · 1807.08308

Generalized metallic structures

Adara M. Blaga·Antonella Nannicini
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Abstract

We study the properties of a generalized metallic, a generalized product and a generalized complex structure induced on the generalized tangent bundle of $M$ by a metallic Riemannian structure $(J,g)$ on $M$, providing conditions for their integrability with respect to a suitable connection. Moreover, by using methods of generalized geometry, we lift $(J,g)$ to metallic Riemannian structures on the tangent and cotangent bundles of $M$, underlying the relations between them.

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Adara M. Blaga, Antonella Nannicini. 2018-07-22. Generalized metallic structures. https://doi.org/10.33044/revuma.v61n1a04

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