Publication detail

Reduction Theorems for Principal and Classical Connections

DOUPOVEC, M. MIKULSKI, W.

English title

Reduction Theorems for Principal and Classical Connections

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

Original 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.

Keywords in English

Gauge natural operator; reduction theorem; principal prolongation

Released

2010-01-01

ISSN

1439-8516

Journal

ACTA MATHEMATICA SINICA-ENGLISH SERIES

Volume

26

Number

1

Pages from–to

169–184

Pages count

16

BIBTEX


@article{BUT49612,
  author="Miroslav {Doupovec} and Wlodzimierz {Mikulski}",
  title="Reduction Theorems for Principal and Classical Connections",
  journal="ACTA MATHEMATICA SINICA-ENGLISH SERIES",
  year="2010",
  volume="26",
  number="1",
  pages="169--184",
  issn="1439-8516"
}