Canonical Torsion-Free Connections on the Total Space of the Tangent and the Cotangent Bundle

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dc.creatorBergery, Lionel Bérard
dc.creatorKrantz, Thomas
dc.date2009-04-29
dc.date.accessioned2026-07-07T13:09:55Z
dc.date.available2026-07-07T13:09:55Z
dc.descriptionIn this paper we define a class of torsion-free connections on the total space of the (co-)tangent bundle over a base-manifold with a connection and for which tangent spaces to the fibers are parallel. Each tangent space to a fiber is flat for these connections and the canonical projection from the (co-)tangent bundle to the base manifold is totally geodesic. In particular cases the connection is metric with signature (n,n) or symplectic and admits a single parallel totally isotropic tangent n-plane.
dc.identifierhttps://arxiv.org/abs/0904.4581
dc.identifierhttp://arxiv.org/abs/0904.4581
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228901
dc.subjectRepresentation Theory
dc.titleCanonical Torsion-Free Connections on the Total Space of the Tangent and the Cotangent Bundle
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