A note on jet and geometric approach to higher order connections

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26210%2F14%3APU108632" target="_blank" >RIV/00216305:26210/14:PU108632 - isvavai.cz</a>

Result on the web

<a href="http://dx.doi.org/10.1007/978-3-642-55361-5_24" target="_blank" >http://dx.doi.org/10.1007/978-3-642-55361-5_24</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1007/978-3-642-55361-5_24" target="_blank" >10.1007/978-3-642-55361-5_24</a>

Result language

angličtina

Original language name

A note on jet and geometric approach to higher order connections

Original language description

We compare two ways of interpreting higher order connections. The geometric approach lies in the decomposition of higher order tangent space into the horizontal and vertical structures while the jet-like approach considers a higher order connection as the section of a jet prolongation of a fibered manifold. Particularly, we use the Ehresmann prolongation of a general connection and study the result from the point of view of geometric theory. We pay attention to linear connections, too.

Czech name

—

Czech description

—

Type

D - Article in proceedings

CEP classification

BA - General mathematics

OECD FORD branch

—

Project

<a href="/en/project/LO1202" target="_blank" >LO1202: NETME CENTRE PLUS</a><br>

Continuities

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

Publication year

2014

Confidentiality

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

Article name in the collection

Algebra, Geometry and Mathematical Physics

ISBN

978-3-642-55360-8

ISSN

—

e-ISSN

—

Number of pages

11

Pages from-to

375-385

Publisher name

Springer - Verlag

Place of publication

Germany

Event location

Mulhouse

Event date

Oct 24, 2011

Type of event by nationality

WRD - Celosvětová akce

UT code for WoS article

000347610400024