Publication result detail

A note on jet and geometric approach to higher order connections

RAHULA, M.; VAŠÍK, P.

Original Title

A note on jet and geometric approach to higher order connections

English Title

A note on jet and geometric approach to higher order connections

Type

Paper in proceedings (conference paper)

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.

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

Jet, linear connection, Ehresmann prolongation

Key words in English

Jet, linear connection, Ehresmann prolongation

Authors

RAHULA, M.; VAŠÍK, P.

Released

01.04.2014

Publisher

Springer - Verlag

Location

Germany

ISBN

978-3-642-55360-8

Book

Algebra, Geometry and Mathematical Physics

Edition

Springer Proceedings in Mathematics and Statistics

ISBN

NEUVEDENO

Pages from

375

Pages to

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",
  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"
}