A short proof of the Hölder-Poincaré duality for \(L_p\)-cohomology

DOI10.4171/RSMUP/124-11zbMath1225.58004arXiv0911.0998OpenAlexW1969282895MaRDI QIDQ624858

Marc Troyanov, Vladimir Gol'dshtein

Publication date: 10 February 2011

Published in: Rendiconti del Seminario Matematico della Università di Padova (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0911.0998

zbMATH Keywords

Riemannian manifold\(L^p\)-cohomologyHölder-Poincaré duality theoremLebesgue measurable differential forms

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10) Global Riemannian geometry, including pinching (53C20)

Related Items (4)

\(L^p\)-cohomology, heat semigroup and stratified spaces ⋮ Non-vanishing for group \(L^p\)-cohomology of solvable and semisimple Lie groups ⋮ Relative L^p-cohomology and application to Heintze groups ⋮ The Hölder-Poincaré duality for \(L _{q,p }\)-cohomology

Cites Work

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• A property of de Rham regularization operators
• Dual spaces of spaces of differential forms
• \(L^p\)-cohomology and pincing
• Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology

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