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.I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.