Bounds on primitives of differential forms and cofilling inequalities

Details Bounds on primitives of differential forms and cofilling inequalities Bounds on primitives of differential forms and cofilling inequalities

2005-01-06

arxiv.org/abs/math/0501089v1

Mathematics

Differential Geometry

The new features of the main result are its sharpness and the fact that the manifold is not assumed have bounded geometry, nor

Scientific paper

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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