Natural connections on the bundle of Riemannian metrics

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dc.creatorPerez, Roberto Ferreiro
dc.creatorMasque, Jaime Muñoz
dc.date2005-07-04
dc.date.accessioned2026-07-07T05:21:23Z
dc.date.available2026-07-07T05:21:23Z
dc.descriptionLet $FM,\mathcal{M}_M$ be the bundles of linear frames and Riemannian metrics of a manifold $M$, respectively. The existence of a unique $\mathrm{Diff}M$-invariant connection form on $J^1\mathcal{M}_M\times_MFM\to J^1\mathcal{M}_M$, which is Riemannian with respect to the universal metric on $J^1\mathcal{M}_M\times_MTM$, is proved. Aplications to the construction of universal Pontryagin and Euler forms, are given.
dc.identifierhttps://arxiv.org/abs/math/0507075
dc.identifierhttp://arxiv.org/abs/math/0507075
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/75673
dc.subjectDifferential Geometry
dc.subjectPrimary 53A55; Secondary 53B05, 53B21, 57R20, 58A20, 58D19
dc.titleNatural connections on the bundle of Riemannian metrics
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