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Generalized metallic structures
Volume 61, no. 1
(2020),
pp. 73–86
https://doi.org/10.33044/revuma.v61n1a04
Abstract
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.
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Published by the Unión Matemática Argentina |
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