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Title: Natural lifting of connections to vertical bundles (English)
Author: Kolář, Ivan
Author: Mikulski, Włodzimierz M.
Language: English
Journal: Proceedings of the 19th Winter School "Geometry and Physics"
Issue: 1999
Pages: 97-102
Category: math
Summary: One studies the flow prolongation of projectable vector fields with respect to a bundle functor of order $(r,s,q)$ on the category of fibered manifolds. As a result, one constructs an operator transforming connections on a fibered manifold $Y$ into connections on an arbitrary vertical bundle over $Y$. It is deduced that this operator is the only natural one of finite order and one presents a condition on vertical bundles over $Y$ under which every natural operator in question has finite order. (English)
MSC: 53C05
MSC: 58A20
MSC: 58A32
idZBL: Zbl 0978.53056
idMR: MR1758084
Date available: 2009-07-13T21:43:21Z
Last updated: 2012-09-18
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