The first proper space of \(\Delta\) for \(p\)-forms in compact Riemannian manifolds of positive curvature operator

DOI10.4310/JDG/1214435382zbMath0438.53042OpenAlexW1545865695WikidataQ115188964 ScholiaQ115188964MaRDI QIDQ1141937

Seiichi Yamaguchi, Shun-ichi Tachibana

Publication date: 1980

Published in: Journal of Differential Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4310/jdg/1214435382

zbMATH Keywords

Laplacian operatorpositive curvature operatorconformal Killing p-formKilling p-form

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (5)

Harmonic and conformally Killing forms on complete Riemannian manifold ⋮ What is the Bochner technique and where is it applied ⋮ Conformal Killing \(L^2\)-forms on complete Riemannian manifolds with nonpositive curvature operator ⋮ Comparative analysis of spectral properties of the Hodge-de Rham and Tachibana operators ⋮ Eigenvalues of the Tachibana operator which acts on differential forms

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