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math.DG2017★ 3 cited
Poincar{é} and Sobolev inequalities for differential forms in Heisenberg groups
Annalisa Baldi, Bruno Franchi, Pierre Pansu
Poincar{é} and Sobolev inequalities for differential forms on Heisenberg balls, involving Rumin's differentials, are given. Furthermore, a global homotopy of Rumin's complex which…
math.DG2017
Cup-products in L q,p -cohomology: discretization and quasi-isometry invariance
Pierre Pansu
We relate -cohomology of bounded geometry Riemannian manifolds to a purely metric space notion of -cohomology, packing cohomology. This implies quasi-isometry…
math.DG2017
Asymptotic expansions of holonomy
Erlend Grong, Pierre Pansu
Given a principal bundle with a connection, we look for an asymptotic expansion of the holonomy of a loop in terms of its length. This length is defined relative to some Riemannian…