# Article

 Title: Some natural operations between connections on fibred manifolds  (English) Author: Doupovec, Miroslav Author: Vondra, Alexandr Language: English Journal: Proceedings of the Winter School "Geometry and Physics" Volume: Issue: 1994 Year: Pages: [73]-84 . Category: math . Summary: Given a fibered manifold $Y \to X$, a 2-connection on $Y$ means a section $J^1 Y \to J^2 Y$. The authors determine all first order natural operators transforming a 2-connection on $Y$ and a classical linear connection on $X$ into a connection on $J^1 Y \to Y$. (The proof implies that there is no first order natural operator transforming 2-connections on $Y$ into connections on $J^1Y \to Y$.) Using this result, the authors deduce several properties of characterizable connections on $J^1 Y \to X$. MSC: 53A55 MSC: 53C05 MSC: 58A20 idZBL: Zbl 0858.53020 idMR: MR1396603 . Date available: 2009-07-13T21:34:51Z Last updated: 2012-09-18 Stable URL: http://hdl.handle.net/10338.dmlcz/701566 .

## Files

Files Size Format View
WSGP_14-1994-1_6.pdf 1.001Mb application/pdf View/Open

Partner of