Spaces of differential forms and mappings with controlled distortion

DOI10.1134/S1064562409010323zbMath1261.58005MaRDI QIDQ1760954

Sergei Vodop'yanov

Publication date: 15 November 2012

Published in: Doklady Mathematics (Search for Journal in Brave)

zbMATH Keywords

distortion maps, quasi-conformal mapping, cohomology of Riemannian spacesLebesgue space of differential forms

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Isomorphic theory (including renorming) of Banach spaces (46B03) Integrals of Riemann, Stieltjes and Lebesgue type (26A42) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Differential forms in global analysis (58A10) Differentiable maps on manifolds (58C25)

Cites Work

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• On regularity of mappings inverse to Sobolev mappings
• Change of variables formula under minimal assumptions
• Quasiregular mappings and cohomology.

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