Detail publikačního výsledku

A note on jet and geometric approach to higher order connections

RAHULA, M.; VAŠÍK, P.

Originální název

A note on jet and geometric approach to higher order connections

Anglický název

A note on jet and geometric approach to higher order connections

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

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.

Anglický abstrakt

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.

Klíčová slova

Jet, linear connection, Ehresmann prolongation

Klíčová slova v angličtině

Jet, linear connection, Ehresmann prolongation

Autoři

RAHULA, M.; VAŠÍK, P.

Vydáno

01.04.2014

Nakladatel

Springer - Verlag

Místo

Germany

ISBN

978-3-642-55360-8

Kniha

Algebra, Geometry and Mathematical Physics

Edice

Springer Proceedings in Mathematics and Statistics

ISSN

NEUVEDENO

Strany od

375

Strany do

385

Strany počet

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",
  series="Springer Proceedings in Mathematics and Statistics",
  number="85",
  pages="375--385",
  publisher="Springer - Verlag",
  address="Germany",
  doi="10.1007/978-3-642-55361-5\{_}24",
  isbn="978-3-642-55360-8"
}