Publication detail

A note on jet and geometric approach to higher order connections

RAHULA, M. VAŠÍK, P.

Czech title

Poznámka o geometrickém přístupu ke konexím vyššího řádu

English title

A note on jet and geometric approach to higher order connections

Type

conference paper

Language

en

Original abstract

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 abstract

Zkoumáme různé pohledy na konexe vyššího řádu. Geometrický, který využívá rozložení tečného prostoru na horizontální a vertikální podprostory, a jetový, který konexe interpretuje jako řezy jetového prodloužení fibrované variety. Jsou zmíněny i lineární konexe.

English abstract

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.

Keywords in Czech

Jet, lineární konexe, Ehresmannovo prodloužení

Keywords in English

Jet, linear connection, Ehresmann prolongation

RIV year

2014

Released

01.04.2014

Publisher

Springer - Verlag

Location

Germany

ISBN

978-3-642-55360-8

ISSN

NEUVEDENO

Book

Algebra, Geometry and Mathematical Physics

Edition number

85

Pages from–to

375–385

Pages count

11

BIBTEX


@inproceedings{BUT106953,
  author="Maido {Rahula} and Petr {Vašík},
  title="A note on jet and geometric approach to higher order connections",
  booktitle="Algebra, Geometry and Mathematical Physics",
  year="2014",
  month="April",
  pages="375--385",
  publisher="Springer - Verlag",
  address="Germany",
  isbn="978-3-642-55360-8",
  issn="NEUVEDENO"
}