Natural principal connections on the principal gauge prolongation of a principal bundle

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F09%3A00029778" target="_blank" >RIV/00216224:14310/09:00029778 - isvavai.cz</a>

Result on the web

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DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Natural principal connections on the principal gauge prolongation of a principal bundle

Original language description

Let $Gamma$ be a principal connection on a principal bundle $pi:Pto M$ and let $Lambda$ be a linear connection on $M$. We describe all possible natural prolongations of $Gam$, with respect to $Lam$, to principal connections on the principal gauge prolongation $W^rP$ of $P$. For $r=1,2$ we give the full classification, for $rge 3$ we give a base of natural operators which generates all possible natural principal connections on $W^rP$.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BA - General mathematics

OECD FORD branch

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Project

<a href="/en/project/GA201%2F09%2F0981" target="_blank" >GA201/09/0981: Global Analysis and the Geometry of Fibred Spaces</a><br>

Continuities

Z - Vyzkumny zamer (s odkazem do CEZ)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

REPORTS ON MATHEMATICAL PHYSICS

ISSN

0034-4877

e-ISSN

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Volume of the periodical

64

Issue of the periodical within the volume

3

Country of publishing house

PL - POLAND

Number of pages

21

Pages from-to

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UT code for WoS article

000272851800003

EID of the result in the Scopus database

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