Mathematical Reports - Comptes rendus mathématiques

of the Academy of Science | de l'Académie des sciences

Mathematical Reports
Comptes rendus mathématiques

of the Academy of Science | de l'Académie des sciences

́holonomie — 1 articles found.

Difféologie du fibré d’holonomie d’une connexion en dimension infinie

C. R. Math. Rep. Acad. Sci. Canada Vol. 28 (4) 2006, pp. 121–128
Vol.28 (4) 2006
Jean-Pierre Magnot Details
(Received: 2004-05-13 , Revised: 2005-12-02 )
(Received: 2004-05-13 , Revised: 2005-12-02 )

Jean-Pierre Magnot, Department of Mathematics, Shimane University, Matsue 690-8504, Japan; email: smaeda@riko.shimane-u.ac.jp

Abstract/Résumé:

We show that the holonomy group and the holonomy bundle of a connection on an infinite dimensional principal bundle with regular structure group can be equipped with a natural diffeology.

On montre que le groupe et le fibré d’holonomie d’une connexion sur un fibré principal de dimension infinie dont le groupe de Lie est régulier possèdent une difféologie naturelle.

Keywords: diffeologie, espaces de Frolicher, ́holonomie

AMS Subject Classification: None of the above; but in this section 58B99

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