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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…