Publication detail

On iteration of higher order jets and prolongation of connections

DOUPOVEC, M. MIKULSKI, W.

Czech title

O iterování jetů vyššího řádu a prodlužování konexí

English title

On iteration of higher order jets and prolongation of connections

Type

journal article - other

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.

Czech abstract

Definujeme výměnné přirozené ekvivalence iterovaných neholonomních, holonomních a semiholonomních jetových funktorů, které závisí na klasické lineární konexi na bázi. Klasifikujeme rovněž některé přirozené transformace tohoto typu.

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 in Czech

holonomní jety; semiholonomní jety; neholonomní jety; konexe

Keywords in English

holonomic jets; semiholonomic jets; nonholonomic jets; connections

RIV year

2011

Released

05.01.2011

ISSN

0066-2216

Journal

Annales Polon.Math.

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 Polon.Math.",
  year="2011",
  volume="100",
  number="1",
  month="January",
  pages="55--75",
  issn="0066-2216"
}