A topological version of Obata's sphere theorem

DOI10.4310/JDG/1214435102zbMath0461.53025OpenAlexW1599385551WikidataQ115189069 ScholiaQ115189069MaRDI QIDQ1152593

Mark A. Pinsky

Publication date: 1979

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

Full work available at URL: https://doi.org/10.4310/jdg/1214435102

zbMATH Keywords

eigenvalues of the Laplacianpinching theoremshomeomorphic to \(S^ n\)

Mathematics Subject Classification ID

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

Related Items (4)

Pinching theorem for the first eigenvalue on positively curved manifolds ⋮ On compact Riemannian manifolds admitting a certain function ⋮ An eigenvalue pinching theorem ⋮ A new result on the pinching of the first eigenvalue of the Laplacian and the Dirichlet diameter conjecture

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