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

DOI10.1007/978-0-387-85650-6_9zbMath1169.58003arXiv0805.1845OpenAlexW2118327426MaRDI QIDQ3627657

Marc Troyanov, Vladimir Gol'dshtein

Publication date: 13 May 2009

Published in: Sobolev Spaces in Mathematics II (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.1845

zbMATH Keywords

nonvanishingSobolev inequalitynegative curvature\(L_{q,p}\)-cohomologysimply connected complete Riemannian manifold

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) de Rham theory in global analysis (58A12) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Differential complexes (58J10)

Related Items (2)

ORLICZ SPACES OF DIFFERENTIAL FORMS ON RIEMANNIAN MANIFOLDS: DUALITY AND COHOMOLOGY ⋮ \(L _{p,q} \)-cohomology of warped cylinders

Cites Work

• Unnamed Item
• L\({}_ p\)-cohomology of warped cylinders
• Distortion of mappings and \(L_{q,p}\)-cohomology
• Differential forms on Lipschitz manifolds
• \(L^p\)-cohomology and pincing
• Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology
• On the naturality of the exterior differential
• Riemannian Geometry
• Complete theories of unars
• Riemannian geometry and geometric analysis

This page was built for publication: L q,p -Cohomology of Riemannian Manifolds with Negative Curvature