Hodge Theory for Riemannian Solenoids

DOI10.1007/978-1-4614-0055-4_39zbMath1254.58001arXiv1004.4120OpenAlexW1659653813MaRDI QIDQ2904983

Vicente Muñoz, Ricardo Pérez-Marco

Publication date: 24 August 2012

Published in: Functional Equations in Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1004.4120

zbMATH Keywords

de Rham cohomologyfoliationsharmonic formHodge theory\(L^2\) cohomologygeneralized Ruelle-Sullivan currentrepresentation of homologyRiemannian solenoid

Mathematics Subject Classification ID

de Rham theory in global analysis (58A12) Hodge theory in global analysis (58A14) Foliations in differential topology; geometric theory (57R30) Currents in global analysis (58A25)

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Low-dimensional solenoidal manifolds ⋮ Ergodic solenoids and generalized currents

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