A short proof of the H\"older-Poincar\'{e} Duality for $L_{p}$-cohomology
Vladimir Gol'dshtein, Marc Troyanov
TL;DR
This paper presents a concise proof of the duality theorem for reduced Lp-cohomology on complete oriented Riemannian manifolds, simplifying understanding of this mathematical concept.
Contribution
The paper introduces a shorter, more straightforward proof of the H"older-Poincaré duality for Lp-cohomology, enhancing clarity and accessibility.
Findings
Proof simplifies understanding of Lp-cohomology duality
Establishes duality for complete oriented Riemannian manifolds
Contributes to mathematical theory of geometric analysis
Abstract
We give a short proof of the duality theorem for the reduced -cohomology of a complete oriented Riemannian manifold.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Homotopy and Cohomology in Algebraic Topology