The Sobolev-Poincaré inequality and the \(L_{q,p}\)-cohomology of twisted cylinders

DOI10.33048/semi.2020.17.036zbMath1440.58002arXiv1904.09914OpenAlexW3018716679MaRDI QIDQ2182234

Yaroslav Kopylov, Vladimir Gol'dshtein

Publication date: 21 May 2020

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.09914

zbMATH Keywords

homotopy operatordifferential formtwisted cylinderSobolev-Poincaré inequality, \(L_{q,p}\)-cohomology

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) de Rham theory in global analysis (58A12) Differential forms in global analysis (58A10) Generalized (extraordinary) homology and cohomology theories in algebraic topology (55N20)

Cites Work

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• Reduced \(L_{q,p}\)-cohomology of some twisted products
• The Hölder-Poincaré duality for \(L _{q,p }\)-cohomology
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• \(L _{p,q} \)-cohomology of warped cylinders
• Twisted products in pseudo-Riemannian geometry
• Integral estimates for null Lagrangians
• On normal solvability of the operator of exterior derivation of warped products
• On normal solvability of the exterior differentiation on a warped cylinder
• Sobolev-Gagliardo-Nirenberg and Markov type inequalities on subanalytic domains
• On Cheeger's theorem: Extensions to \(L_ p\)-cohomology of warped cylinders
• Sobolev inequalities for differential forms and \(L_{q,p}\)-cohomology
• \(L_{p, q}\)-cohomology and normal solvability
• CONFORMAL TRANSFORMATIONS IN A TWISTED PRODUCT SPACE
• Manifolds of Negative Curvature
• A curvature condition for a twisted product to be a warped product

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