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Differential forms with values in groups
Published online by Cambridge University Press: 17 April 2009
Abstract
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.
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- Copyright © Australian Mathematical Society 1982
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