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.

Other information

• Original language: English
• Type of outcome: Article in a journal
• Field of Study: 10101 Pure mathematics
• Country of publisher: Czech Republic
• Confidentiality degree: is not subject to a state or trade secret
• 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

Abstract

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 $\Lambda$.

Abstract (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 $\Lambda$.

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