Pinching theorem for the first eigenvalue on positively curved manifolds

DOI10.1007/BF01389012zbMath0496.53031OpenAlexW2007254367MaRDI QIDQ1170510

Peter Li, Jia-Qing Zhong

Publication date: 1981

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142848

zbMATH Keywords

pinching theoremfirst eigenvalue of Laplacian

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global Riemannian geometry, including pinching (53C20)

Related Items

Unnamed Item, Pinching theorem for the first eigenvalue on positively curved four- manifolds, Geometric and topological rigidity for compact submanifolds of odd dimension, An eigenvalue pinching theorem, A new result on the pinching of the first eigenvalue of the Laplacian and the Dirichlet diameter conjecture, First eigenvalue pinching for euclidean hypersurfaces via \(k\)-th mean curvatures

Cites Work

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• A topological version of Obata's sphere theorem