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math.DG2012
Cohomologie en degré 1 des espaces homogènes
Pierre Pansu
The -cohomology in degree 1 of Riemannian homogeneous spaces is computed. It turns out that reduced cohomology does not vanish exactly for spaces quasiisometric to negatively…
math.DG2012
Plongements quasiisométriques du groupe de Heisenberg dans , d'après Cheeger, Kleiner, Lee, Naor
Pierre Pansu
This is a short survey of Cheeger and Kleiner's nonembeddability theorem for Heisenberg group into .
math.DG2012
Cohomologie et pincement
Pierre Pansu
A sharp vanishing theorem for the cohomology torsion of Riemannian manifolds with pinched negative curvature is given. It follows that certain negatively curved homogeneous s…
math.DG2011
Pincement du plan hyperbolique complexe
Pierre Pansu
-cohomology of rank one symmetric spaces of noncompact type is shown to be Hausdorff for values of where this does not follow from curvature pinching. Using the multiplica…