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Classical linear connections from projectable ones on vertical Weil bundles

Kurek Jan (Maria Curie Sklodowska University, Institute of Mathematics, Lublin, Poland)
Mikulski Włodzimierz M. (Jagiellonian University, Institute of Mathematics, Kraków, Poland)

We essentially reduce the problem of describing all natural operators Qproj QVA lifting projectable classical linear connections on fibred manifolds to classical linear connections on vertical Weil bundles.

Keywords: Weil algebra, Weil bundle, vertical Weil bundle, projectable classical linear connection, natural operator