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Differential forms with values in groups

Published online by Cambridge University Press:  17 April 2009

Anders Kock
Anders Kock
Affiliation:
Matematisk Institut, Aarhus Universitet, Aarhus, Denmark.
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Abstract

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In the context of synthetic differential geometry, we present a notion of differential form with values in a group object, typically a Lie group or the group of all diffeomorphisms of a manifold. Natural geometric examples of such forms and the role of their exterior differentiation is given. The main result is a comparison with the classical theory of Lie algebra valued forms.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 25 , Issue 3 , June 1982 , pp. 357 - 386
Copyright
Copyright © Australian Mathematical Society 1982

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