A Short Proof of the Hölder-Poincaré Duality for $L_p$-Cohomology

Vladimir Gol'dshtein; Marc Troyanov

doi:10.4171/rsmup/124-11

JournalsrsmupVol. 124pp. 179–184

A Short Proof of the Hölder-Poincaré Duality for $L_{p}$ -Cohomology

Vladimir Gol'dshtein
Ben Gurion University of the Negev, Beer Sheva, Israel
Marc Troyanov
Ecole Polytechnique Fédérale de Lausanne, Switzerland

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Abstract

We give a short proof of the duality theorem for the reduced $L_{p}$ -cohomology of a complete oriented Riemannian manifold.

Cite this article

Vladimir Gol'dshtein, Marc Troyanov, A Short Proof of the Hölder-Poincaré Duality for $L_{p}$ -Cohomology. Rend. Sem. Mat. Univ. Padova 124 (2010), pp. 179–184

DOI 10.4171/RSMUP/124-11