An analytic version of the De Rham theorem |
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Authors: | Lucia Beretta |
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Affiliation: | 1. Dipartimento di Matematica, Università degli Studi di Trento, 38050, Povo (TN)
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Abstract: | LetV be a real analytic paracompact variety; in §1 of this paper we prove that: $$H^q (V,R) approx frac{{closed analytic differentiable q - forms on V}}{{exact analytic differentiable q - forms on V}}$$ Then we prove that the closed (exact) analytic differentiableq-forms onV are dense, in the Whitney topology, in the set of closed (exact) differentiableq-forms onV. We also consider the problem of extending closed (exact) analytic differentiableq-forms, defined on a subvarietyX ofV, to closed (exact) analytic forms defined onV. |
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