Pinching theorem for the first eigenvalue on positively curved four- manifolds

DOI10.1007/BF01404754zbMath0496.53032OpenAlexW4237817101MaRDI QIDQ1170511

Peter Li, Andrejs E. Treibergs

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/142867

zbMATH Keywords

pinching theoremfirst eigenvalue of the Laplacianfour-spheregradient estimates for eigenfunctions

Mathematics Subject Classification ID

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

Related Items

Unnamed Item, 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

• Unnamed Item
• Pinching theorem for the first eigenvalue on positively curved manifolds