Natural operators transforming projectable vector fields to product preserving bundles

Tomáš, Jiří

  • Proceedings of the 18th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page 181-187

Abstract

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Let Y M be a fibered manifold over a manifold M and μ : A 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 proj Y T μ Y , where T proj Y denotes the space of projective vector fields on Y and T μ the bundle functors associated with μ .

How to cite

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Tomáš, Jiří. "Natural operators transforming projectable vector fields to product preserving bundles." Proceedings of the 18th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 1999. 181-187. <http://eudml.org/doc/219860>.

@inProceedings{Tomáš1999,
abstract = {Let $Y\rightarrow M$ be a fibered manifold over a manifold $M$ and $\mu : A\rightarrow B$ 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 $T_\{\text\{proj\}\} Y\rightarrow T^\mu Y$, where $T_\{\text\{proj\}\}Y$ denotes the space of projective vector fields on $Y$ and $T^\mu $ the bundle functors associated with $\mu $.},
author = {Tomáš, Jiří},
booktitle = {Proceedings of the 18th Winter School "Geometry and Physics"},
keywords = {Winter school; Proceedings; Geometry; Physics; Srní (Czech Republic)},
location = {Palermo},
pages = {181-187},
publisher = {Circolo Matematico di Palermo},
title = {Natural operators transforming projectable vector fields to product preserving bundles},
url = {http://eudml.org/doc/219860},
year = {1999},
}

TY - CLSWK
AU - Tomáš, Jiří
TI - Natural operators transforming projectable vector fields to product preserving bundles
T2 - Proceedings of the 18th Winter School "Geometry and Physics"
PY - 1999
CY - Palermo
PB - Circolo Matematico di Palermo
SP - 181
EP - 187
AB - Let $Y\rightarrow M$ be a fibered manifold over a manifold $M$ and $\mu : A\rightarrow B$ 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 $T_{\text{proj}} Y\rightarrow T^\mu Y$, where $T_{\text{proj}}Y$ denotes the space of projective vector fields on $Y$ and $T^\mu $ the bundle functors associated with $\mu $.
KW - Winter school; Proceedings; Geometry; Physics; Srní (Czech Republic)
UR - http://eudml.org/doc/219860
ER -

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