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A new Lichnerowicz-Obata estimate in the presence of a parallel \(p\)-form

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Publication:697386
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DOI10.1007/S002290200248zbMath1017.58004OpenAlexW2092161153MaRDI QIDQ697386

Jean-François Grosjean

Publication date: 17 September 2002

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002290200248


zbMATH Keywords

Ricci curvatureLaplacianparallel formfirst nonzero eigenvalue


Mathematics Subject Classification ID

Differential forms in global analysis (58A10) Rigidity results (53C24) Spectral theory; eigenvalue problems on manifolds (58C40)


Related Items (5)

First eigenvalue of the $p$-Laplacian on Kähler manifolds ⋮ Lichnerowicz-Obata estimate, almost parallel \(p\)-form and almost product manifolds ⋮ Riemannian invariants that characterize rotational symmetries of the standard sphere ⋮ Minimal submanifolds with a parallel or a harmonic \(p\)-form ⋮ Convergence to the product of the standard spheres and eigenvalues of the Laplacian







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