Poincar{\'e} and Sobolev inequalities for differential forms in Heisenberg groups
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formsrumindifferentialheisenberginequalitiespoincarsobolevballs
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Poincar{\'e} and Sobolev inequalities for differential forms on Heisenberg balls, involving Rumin's differentials, are given. Furthermore, a global homotopy of Rumin's complex which improves differentiability of Rumin forms is provided on any bounded geometry contact manifold.
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