Natural connections given by general linear and classical connections

Simple item page
dc.creatorJanyška, Josef
dc.date2004-10-21
dc.date.accessioned2026-07-07T05:13:28Z
dc.date.available2026-07-07T05:13:28Z
dc.descriptionWe assume a vector bundle $p: E\to M$ with a general linear connection $K$ and a classical linear connection $\Lam$ on $M$. We prove that all classical linear connections on the total space $E$ naturally given by $(\Lam, K)$ form a 15-parameter family. Further we prove that all connections on $J^1 E$ naturally given by $(\Lam, K)$ form a 14-parameter family. Both families of connections are described geometrically.
dc.identifierhttps://arxiv.org/abs/math/0410461
dc.identifierhttp://arxiv.org/abs/math/0410461
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72956
dc.subjectDifferential Geometry
dc.subject53C05; 58A20; 58A32
dc.titleNatural connections given by general linear and classical connections
dc.typetext

Files

Collections

arXiv