Natural lifting of connections to vertical bundles

Kolář, Ivan; Mikulski, Włodzimierz M.

  • Proceedings of the 19th Winter School "Geometry and Physics", Publisher: Circolo Matematico di Palermo(Palermo), page 97-102

Abstract

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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.

How to cite

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Kolář, Ivan, and Mikulski, Włodzimierz M.. "Natural lifting of connections to vertical bundles." Proceedings of the 19th Winter School "Geometry and Physics". Palermo: Circolo Matematico di Palermo, 2000. 97-102. <http://eudml.org/doc/221569>.

@inProceedings{Kolář2000,
abstract = {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.},
author = {Kolář, Ivan, Mikulski, Włodzimierz M.},
booktitle = {Proceedings of the 19th Winter School "Geometry and Physics"},
keywords = {Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)},
location = {Palermo},
pages = {97-102},
publisher = {Circolo Matematico di Palermo},
title = {Natural lifting of connections to vertical bundles},
url = {http://eudml.org/doc/221569},
year = {2000},
}

TY - CLSWK
AU - Kolář, Ivan
AU - Mikulski, Włodzimierz M.
TI - Natural lifting of connections to vertical bundles
T2 - Proceedings of the 19th Winter School "Geometry and Physics"
PY - 2000
CY - Palermo
PB - Circolo Matematico di Palermo
SP - 97
EP - 102
AB - 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.
KW - Proceedings; Winter school; Geometry; Physics; Srní (Czech Republic)
UR - http://eudml.org/doc/221569
ER -

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