Remarks on harmonic forms and proper functions on a Riemannian variety

DOI10.1016/J.BULSCI.2011.01.003zbMath1247.58004OpenAlexW2076645835MaRDI QIDQ661950

Noël Lohoué

Publication date: 11 February 2012

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2011.01.003

zbMATH Keywords

Riemannian manifolddifferential formsLaplace operatorvector bundleelliptic operatorharmonic forms\(L^p\)-estimate

Mathematics Subject Classification ID

A priori estimates in context of PDEs (35B45) Elliptic equations on manifolds, general theory (58J05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differential forms in global analysis (58A10) Hodge theory in global analysis (58A14) (L^p)-spaces and other function spaces on groups, semigroups, etc. (43A15)

Cites Work

• \(L^ p\)-theory of elliptic differential operators on manifolds of bounded geometry
• Foliated Plateau problem. II: Harmonic maps of foliations
• The Novikov-Shubin invariants for locally symmetric spaces
• Eigenforms of the laplacian on complete riemannian manifolds
• On the Upper Estimate of the Heat Kernel of a Complete Riemannian Manifold
• Sur la cohomologie LP des variétés

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