Generalized metallic structures

• Autores: Adara M. Blaga, Antonella Nannicini
• Localización: Revista de la Unión Matemática Argentina, ISSN 0041-6932, ISSN-e 1669-9637, Vol. 61, Nº. 1, 2020, págs. 73-86
• Idioma: inglés
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• Resumen

  • We study the properties of a generalized metallic, a generalized product and a generalized complex structure induced on the generalized tangent bundle of a smooth manifold 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