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Sobolev Spaces in Mathematics II pp 199–208Cite as

L q,p -Cohomology of Riemannian Manifolds with Negative Curvature

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Part of the book series: International Mathematical 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.

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References

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Author information

Authors and Affiliations

  1. Ben Gurion University of the Negev, P.O.B. 653, Beer Sheva 84105, Israel

    Prof. Vladimir Gol'dshtein

  2. Institute of Geometry, Algebra, and Topology, Ecole Polytechnique Federale de Lausanne, 1015 Lausanne, Switzerland

    Marc Troyanov

Authors
  1. Prof. Vladimir Gol'dshtein
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  2. Marc Troyanov
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Corresponding author

Correspondence to Vladimir Gol'dshtein .

Editor information

Editors and Affiliations

  1. Department of Mathematics, Ohio State University, Columbus, USA

    Vladimir Maz'ya

  2. Department of Mathematical Sciences, University of Liverpool, Liverpool, UK

    Vladimir Maz'ya

  3. Department of Mathematics, Linköping University, Linköping, Sweden

    Vladimir Maz'ya

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Gol'dshtein, V., Troyanov, M. (2009). L q,p -Cohomology of Riemannian Manifolds with Negative Curvature. In: Maz'ya, V. (eds) Sobolev Spaces in Mathematics II. International Mathematical Series, vol 9. Springer, New York, NY. https://doi.org/10.1007/978-0-387-85650-6_9

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