Cohomologie $L^p$ en degré 1 des espaces homogènes

Type: Preprint

Publication Date: 2007-01-01

Citations: 7

Abstract

The $L^p$-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 curved homogeneous spaces.

Locations

  • arXiv (Cornell University) - View - PDF
  • HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

Similar Works

Action Title Year Authors
+ Cohomologie $L^p$ en degré 1 des espaces homogènes 2012 Pierre Pansu
+ Cohomologie $L^p$ et pincement 2012 Pierre Pansu
+ PDF Chat Cohomologie $L^p$ et pincement 2008 Pierre Pansu
+ PDF Chat Cohomologie L p en degré 1 des espaces homogènes 2007 Pierre Pansu
+ PDF Chat Cohomologie $L^p$ et pincement 2008 Pierre Pansu
+ L<sub>p</sub>–Cohomology 1993 Graham A. Niblo
Martin A. Roller
+ Espaces homogènes pseudo-riemanniens, réductifs et non-réductifs 1976 Georges Praet
Michel Cahen
+ A short proof of the H\"older-Poincar\'{e} Duality for $L_{p}$-cohomology 2009 Vladimir Gol’dshtein
Marc Troyanov
+ A short proof of the Hölder-Poincaré Duality for $L_{p}$-cohomology 2009 Vladimir Gol’dshtein
Marc Troyanov
+ PDF Chat A Short Proof of the Hölder-Poincaré Duality for $L_p$-Cohomology 2010 Vladimir Gol’dshtein
Marc Troyanov
+ Hodge Theory with Degenerating Coefficients: L 2 Cohomology in the Poincare Metric 1979 Steven W. Zucker
+ Reduced cohomology 2008 Bachir Bekka
Pierre de la Harpe
Alain Valette
+ PDF Chat Negativity of curvature on spaces parametrizing Hodge decompositions of reduced first cohomology groups 2003 Ngaiming Mok
+ Méthodes cohomologiques pour l’étude des points rationnels sur les espaces homogènes 2009 Cyril Demarche
+ De Rham isomorphism of the Lp-cohomology of noncompact Riemannian manifolds 1988 V. M. Gol′dshteĭn
V. I. Kuz’minov
I. A. Shvedov
+ Cohomology of Principal Bundles amd Homogeneous Spaces 1972
+ Cohomologie et rigidité d'espaces compacts localement symétriques 1964 Armand Borel
+ Cohomologie $L^2$ et parabolicite 2004 Gilles Carron
+ Cohomologie $L^2$ et parabolicite 2004 Gilles Carron
+ La cohomologie mod 2 de certains espaces homogènes 1953 Armand Borel

Works Cited by This (0)

Action Title Year Authors