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Lq,p-Cohomology of Riemannian Manifolds with Negative Curvature

  • Vladimir Gol'dshtein
  • Marc Troyanov
Part of the International Mathematical Series book series (IMAT, volume 9)

Abstract

We consider the L q,p -cohomology of a complete simply connected Riemannian manifold (M, g) with pinched negative curvature. The connection between the L q,p -cohomology of (M, g) and Sobolev inequalities for differential forms on (M, g) was established by the authors in the previous publications.

Keywords

Riemannian Manifold Sobolev Space Sectional Curvature Volume Form Sobolev Inequality 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  1. 1.Ben Gurion University of the NegevIsrael
  2. 2.Institute of Geometry, Algebra, and TopologyEcole Polytechnique Federale de LausanneSwitzerland

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