Bundles of A-covelocities and A-jets

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26310%2F13%3APU103204" target="_blank" >RIV/00216305:26310/13:PU103204 - isvavai.cz</a>

Result on the web

<a href="http://mat76.mat.uni-miskolc.hu/~mnotes/index.php?page=contents&volume=14&number=2" target="_blank" >http://mat76.mat.uni-miskolc.hu/~mnotes/index.php?page=contents&volume=14&number=2</a>

DOI - Digital Object Identifier

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Result language

angličtina

Original language name

Bundles of A-covelocities and A-jets

Original language description

For an m-dimensional manifold M, a Weil algebra A-D^r_k/I and a Lie group homomorphism p mapping the jet group G^r_m to the group of algebra automorphisms of A we define the concept of a (p,A)-covelocity extending restrictions of covelocities T^A_xf fromthe orbits of the certain subgroup G^r_p,k of G^r_k to the whole G^r_k determined by p. It is proved that such objects together with some kind of associated maps forms the structure of a natural bundle over M with the standard fiber formed by the nipotent ideal of A. Further, we introduce bundle functors J^A_p of (p,A)-jets and give their geometrical description.

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

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Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2013

Confidentiality

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

Name of the periodical

Miskolc Mathematical Notes

ISSN

1787-2405

e-ISSN

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Volume of the periodical

14

Issue of the periodical within the volume

2

Country of publishing house

HU - HUNGARY

Number of pages

9

Pages from-to

547-555

UT code for WoS article

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EID of the result in the Scopus database

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