Reduction theorems for principal and classical connections

Authors
Doupovec, Miroslav Mikulski, Wlodzimierz M.
Citation
Doupovec, Miroslav et M. Mikulski, Wlodzimierz, Reduction theorems for principal and classical connections, Acta mathematica Sinica. English series (Print) , 26(1), 2010, pp. 169-184
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
1
Year of publication
2010
Pages
169 - 184
Database
ACNP
SICI code
Abstract
We prove general reduction theorems for gauge natural operators transforming principal connections and classical linear connections on the base manifold into sections of an arbitrary gauge natural bundle. Then we apply our results to the principal prolongation of connections. Finally we describe all such gauge natural operators for some special cases of a Lie group G.