Harmonic forms on noncompact Riemannian and Kaehler manifolds

DOI10.1307/MMJ/1029002458zbMath0477.53058OpenAlexW1976737814WikidataQ115239019 ScholiaQ115239019MaRDI QIDQ1160928

Robert E. Greene, Hung-Hsi Wu

Publication date: 1981

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

Full work available at URL: https://doi.org/10.1307/mmj/1029002458

zbMATH Keywords

Ricci curvaturesubharmonic functionsharmonic formsBochner techniqueHermitian holomorphic line bundlecohomology vanishing theorem

Mathematics Subject Classification ID

Global differential geometry of Hermitian and Kählerian manifolds (53C55) Global Riemannian geometry, including pinching (53C20) Sheaves and cohomology of sections of holomorphic vector bundles, general results (32L10)

Related Items (7)

\(L^ 2\) vector bundle valued forms and the Laplace-Beltrami operator ⋮ harmonic 1-forms on hypersurfaces with finite index ⋮ Vanishing and conservativeness of harmonic forms of a non-compact CR manifold ⋮ The differential form spectrum of manifolds of positive curvature ⋮ \(L^2\)-harmonic forms of a complete noncompact Riemannian manifold ⋮ Growth estimates for generalized harmonic forms on noncompact manifolds with geometric applications ⋮ Remarks on subharmonic functions on Riemannian manifolds

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