On the locally branched Euclidean metric gauge

DOI10.1215/S0012-7094-02-11412-4zbMath1019.58002MaRDI QIDQ1847939

Juha Heinonen, Dennis Sullivan

Publication date: 27 October 2002

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.dmj/1087575355

zbMATH Keywords

Sobolev classeslocal cohomology groups\(n\)-dimensional gaugesCartan-Whitney presentation of the gaugecohomology manifoldsdifferential analysis and nonlinear potential theory on metric measure spaces with Poincaré inequalitydifferential Whitney 1-formsgauge Whitney 1-formsLipschitz branched coverlocally bi-Lipschitz metricslocally branched Euclidean metric gaugesmeasurable cotangent bundlemetric gaugemetric orientationobstruction to removing the branchingresidue of presentationStokes cycles

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Low-dimensional topology of special (e.g., branched) coverings (57M12) General theory of differentiable manifolds (58A99)

Related Items (16)

Nonsmooth calculus ⋮ Weak BLD mappings and Hausdorff measure ⋮ Quasiregular mappings to generalized manifolds ⋮ Quasiconformal extension fields ⋮ Flat forms in Banach spaces ⋮ Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds ⋮ The branch set of a quasiregular mapping between metric manifolds ⋮ Uniformization of two-dimensional metric surfaces ⋮ Quasiconformal frames ⋮ Quasisymmetric structures on surfaces ⋮ Integration by parts on generalized manifolds and applications on quasiregular maps ⋮ On BLD-mappings with small distortion ⋮ Mappings of finite distortion from generalized manifolds ⋮ Mappings of finite distortion between metric measure spaces ⋮ Geometric branched covers between generalized manifolds ⋮ Flat forms in metric spaces

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