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Title: Natural operators transforming projectable vector fields to product preserving bundles (English)
Author: Tomáš, Jiří
Language: English
Journal: Proceedings of the 18th Winter School "Geometry and Physics"
Issue: 1998
Pages: 181-187
Category: math
Summary: Let $Y\to M$ be a fibered manifold over a manifold $M$ and $\mu: A\to B$ be a homomorphism between Weil algebras $A$ and $B$. Using the results of Mikulski and others, which classify product preserving bundle functors on the category of fibered manifolds, the author classifies all natural operators $T_{\text {proj}} Y\to T^\mu Y$, where $T_{\text {proj}}Y$ denotes the space of projective vector fields on $Y$ and $T^\mu$ the bundle functors associated with $\mu$. (English)
MSC: 58A05
MSC: 58A20
MSC: 58A32
idZBL: Zbl 0959.58001
idMR: MR1692269
Date available: 2009-07-13T21:41:45Z
Last updated: 2012-09-18
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