Generalized Sprays and Nonlinear Connections

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dc.creatorDel Riego, L.
dc.creatorParker, Phillip. E.
dc.date2003-04-04
dc.date.accessioned2026-07-07T04:56:38Z
dc.date.available2026-07-07T04:56:38Z
dc.descriptionThe main purposes of this article are to extend our previous results on homogeneous sprays to arbitrary (generalized) sprays, to show that locally diffeomorphic exponential maps can be defined for any (generalized) spray, and to give a (possibly nonlinear) covariant derivative for any (possibly nonlinear) connection. In the process, we introduce vertically homogeneous connections. Unlike homogeneous connections, these allow us to include Finsler spaces among the applications. We provide significant support for the prospect of studying nonlinear connections via (generalized) sprays. One of the most important is our generalized APS correspondence.
dc.description22 pages + title page, 2 eps figures, 1 LaTeX picture
dc.identifierhttps://arxiv.org/abs/math/0304067
dc.identifierhttp://arxiv.org/abs/math/0304067
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66993
dc.subjectDifferential Geometry
dc.subject53C15 primary 53C22,58E10 secondary
dc.titleGeneralized Sprays and Nonlinear Connections
dc.typetext

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