Publication detail

On iteration of higher order jets and prolongation of connections

DOUPOVEC, M. MIKULSKI, W.

English title

On iteration of higher order jets and prolongation of connections

Type

Peer-reviewed article not indexed in WoS or Scopus

Language

en

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.

Keywords in English

holonomic jets; semiholonomic jets; nonholonomic jets; connections

Released

2011-01-05

ISSN

0066-2216

Journal

Annales Polonici Mathematici

Volume

100

Number

1

Pages from–to

55–75

Pages count

21

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"
}