Second order connections on some functional bundles

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F99%3A00003554" target="_blank" >RIV/00216224:14310/99:00003554 - 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

Second order connections on some functional bundles

Original language description

Abstract. We study the second order connections in the sense of C. Ehresmann. On a fibered manifold Y, such a connection is a section from Y into the second non-holonomic jet prolongation of Y. Our main aim is to extend the classical theory to the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base. This requires several new geometric results about the second order connections on Y, which are deduced in the first part of the paper.

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%2F99%2F0296" target="_blank" >GA201/99/0296: Differential geometry of higher order</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

1999

Confidentiality

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

Name of the periodical

Archivum Mathematicum

ISSN

0044-8753

e-ISSN

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Volume of the periodical

1999

Issue of the periodical within the volume

4

Country of publishing house

CZ - CZECH REPUBLIC

Number of pages

18

Pages from-to

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UT code for WoS article

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EID of the result in the Scopus database

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