Pierre Pansu
Published 2017-02-16Version 1
We relate $L^{q,p}$-cohomology of bounded geometry Riemannian manifolds to a purely metric space notion of $\ell^{q,p}$-cohomology, packing cohomology. This implies quasi-isometry invariance of $L^{q,p}$-cohomology together with its multiplicative structure. The result partially extends to the Rumin $L^{q,p}$-cohomology of bounded geometry contact manifolds.
On a discretization of confocal quadrics
On the $L_{q,p}$-cohomology of Riemannian Manifolds with Negative Curvature
Distortion of Mappings and $L_{q,p}$-Cohomology
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