Classification of principal connections naturally induced on $W^2PE$

VONDRA, Jan. Classification of principal connections naturally induced on $W^2PE$. Archivum Mathematicum. Brno: Masaryk University, 2008, vol. 44, No 5, p. 535-547. ISSN 0044-8753.

Basic information

Original name

Classification of principal connections naturally induced on $W^2PE$

Name in Czech

Kalsifikace hlavních konexí přirozeně indukovaných na $W^2PE$

Authors

VONDRA, Jan (203 Czech Republic, guarantor)

Edition

Archivum Mathematicum, Brno, Masaryk University, 2008, 0044-8753

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Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10101 Pure mathematics

Country of publisher

Czech Republic

Confidentiality degree

není předmětem státního či obchodního tajemství

RIV identification code

RIV/00216224:14310/08:00025228

Organization unit

Faculty of Science

Keywords in English

natural bundle; gauge-natural bundle; natural operator; pricipal bundle; principal connection

Tags

Gauge-natural bundle, natural bundle, natural operator, pricipal bundle, principal connection

Tags

International impact, Reviewed

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Abstract

V originále

We consider a vector bundle $E\to M$ and the principal bundle $PE$ of frames of $E$. Let $K$ be a principal connection on $PE$ and let $\Lambda$ be a linear connection on $M$. We classify all principal connections on $W^2PE= P^2M \times_M J^2PE$ naturally given by $K$ and $\Lambda$.

In Czech

Uvažujeme vektorový bandl $E\to M$ a hlavní bandl $PE$ repérů na $E$. Nechť $K$ je hlavní konexe na $PE$ a $\Lambda$ lineární konexe na $M$. Klasifikujeme všechny hlavní konexe na $W^2PE= P^2M\times_M J^2PE$ přirozeně dané konexemi $K$ a $\Lambda$.

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Links

GD201/05/H005, research and development project

Name: Algebra a geometrie: propojení a trendy v současné matematice Investor: Czech Science Foundation, Algebra and Geometry: the reunion and trends in current mathematics