Publication detail

On the existence of prolongation of connections

DOUPOVEC, M. MIKULSKI, W.

Czech title

O existenci prodlužování konexí

English title

On the existence of prolongation of connections

Type

journal article - other

Language

en

Original abstract

We classify all bundle functors $G$ admitting natural operators transforming connections on fibered manifolds $Y\to M$ into connections on $GY\to M$. Then we solve a similar problem for natural operators transforming connections on $Y\to M$ into connections on $GY\to Y$.

Czech abstract

V práci jsou klasifikovány všechny bandlové funktory G, pro které existují přirozené operátory převádějící konexe na fibrované varietě $Y\to M$ na konexe na $GY\to M$.

English abstract

We classify all bundle functors $G$ admitting natural operators transforming connections on fibered manifolds $Y\to M$ into connections on $GY\to M$. Then we solve a similar problem for natural operators transforming connections on $Y\to M$ into connections on $GY\to Y$.

Keywords in English

bundle functor; connection; natural operator

RIV year

2006

Released

01.12.2006

ISSN

0011-4642

Journal

Czechoslovak Mathematical Journal

Volume

56

Number

4

Pages from–to

1323–1334

Pages count

12

BIBTEX


@article{BUT43644,
  author="Miroslav {Doupovec} and Wlodzimierz {Mikulski},
  title="On the existence of prolongation of connections",
  journal="Czechoslovak Mathematical Journal",
  year="2006",
  volume="56",
  number="4",
  month="December",
  pages="1323--1334",
  issn="0011-4642"
}