Gauge natural constructions on higher order principal prolongations

Miroslav Doupovec; Włodzimierz M. Mikulski

Miroslav Doupovec ; Włodzimierz M. Mikulski

Annales Polonici Mathematici, Tome 92 (2007), p. 87-97 / Harvested from The Polish Digital Mathematics Library

Résumé

Let $W_{m}^{r} P$ be a principal prolongation of a principal bundle P → M. We classify all gauge natural operators transforming principal connections on P → M and rth order linear connections on M into general connections on $W_{m}^{r} P \to M$ . We also describe all geometric constructions of classical linear connections on $W_{m}^{r} P$ from principal connections on P → M and rth order linear connections on M.

Publié le : 2007-01-01

Zbl 1133.58001

EUDML-ID : urn:eudml:doc:281001

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     title = {Gauge natural constructions on higher order principal prolongations},
     journal = {Annales Polonici Mathematici},
     volume = {92},
     year = {2007},
     pages = {87-97},
     zbl = {1133.58001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap92-1-9}
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Miroslav Doupovec; Włodzimierz M. Mikulski. Gauge natural constructions on higher order principal prolongations. Annales Polonici Mathematici, Tome 92 (2007) pp. 87-97. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap92-1-9/