Publication result detail

Reduction Theorems for Principal and Classical Connections

DOUPOVEC, M.; MIKULSKI, W.

Original Title

Reduction Theorems for Principal and Classical Connections

English Title

Reduction Theorems for Principal and Classical Connections

Type

Peer-reviewed article not indexed in WoS or Scopus

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.

English 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

Gauge natural operator; reduction theorem; principal prolongation

Key words in English

Gauge natural operator; reduction theorem; principal prolongation

Authors

DOUPOVEC, M.; MIKULSKI, W.

RIV year

2010

Released

01.01.2010

ISBN

1439-8516

Periodical

ACTA MATHEMATICA SINICA-ENGLISH SERIES

Volume

26

Number

1

State

People's Republic of China

Pages from

169

Pages to

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"
}