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 condition for their integrability with respect to a subitable 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 relationship between them.

Generalized metallic structures / Blaga, Adara Monica; Nannicini, Antonella. - In: REVISTA DE LA UNION MATEMATICA ARGENTINA. - ISSN 0041-6932. - STAMPA. - 61:(2020), pp. 73-86. [10.33044/revuma.v61n1a04]

Generalized metallic structures

Nannicini, Antonella
2020

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 condition for their integrability with respect to a subitable 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 relationship between them.
2020
61
73
86
Goal 17: Partnerships for the goals
Blaga, Adara Monica; Nannicini, Antonella
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1153944
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