Detail publikačního výsledku

On iteration of higher order jets and prolongation of connections

DOUPOVEC, M.; MIKULSKI, W.

Original Title

On iteration of higher order jets and prolongation of connections

English Title

On iteration of higher order jets and prolongation of connections

Type

Peer-reviewed article not indexed in WoS or Scopus

Original Abstract

We introduce exchange natural equivalences of iterated nonholonomic, holonomic and semiholonomic jet functors, depending on a classical linear connection on the base manifold. We also classify some natural transformations of this type. As an application we introduce prolongation of higher order connections to jet bundles.

English abstract

We introduce exchange natural equivalences of iterated nonholonomic, holonomic and semiholonomic jet functors, depending on a classical linear connection on the base manifold. We also classify some natural transformations of this type. As an application we introduce prolongation of higher order connections to jet bundles.

Keywords

holonomic jets; semiholonomic jets; nonholonomic jets; connections

Key words in English

holonomic jets; semiholonomic jets; nonholonomic jets; connections

Authors

DOUPOVEC, M.; MIKULSKI, W.

RIV year

2011

Released

05.01.2011

ISBN

0066-2216

Periodical

Annales Polonici Mathematici

Volume

100

Number

1

State

Republic of Poland

Pages from

55

Pages to

75

Pages count

21

Full text in the Digital Library

http://hdl.handle.net/

BibTex

@article{BUT49910,
  author="Miroslav {Doupovec} and Wlodzimierz {Mikulski}",
  title="On iteration of higher order jets and prolongation of connections",
  journal="Annales Polonici Mathematici",
  year="2011",
  volume="100",
  number="1",
  pages="55--75",
  issn="0066-2216"
}