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Bounds on primitives of differential forms and cofilling inequalities

Jean-Claude Sikorav
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Abstract

We prove that on a Riemannian manifold, a smooth differential form has a primitive with a given (functional) upper bound provided the necessary weighted isoperimetric inequalities implied by Stokes are satisfied. We apply this to prove a comparison predicted by Gromov between the cofilling function and the filling area.

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Jean-Claude Sikorav. 2005-01-06. Bounds on primitives of differential forms and cofilling inequalities. https://arxiv.org/abs/math/0501089

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