A global curvature pinching result of the first eigenvalue of the Laplacian on Riemannian manifolds

DOI10.1155/2013/237418zbMath1275.53040OpenAlexW2035761423WikidataQ58915618 ScholiaQ58915618MaRDI QIDQ369793

Peihe Wang, Ying Li

Publication date: 19 September 2013

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/237418

zbMATH Keywords

geodesic ballsMoser iterationSobolev constant

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Integral curvature bounds, distance estimates and applications
• Convergence of riemannian manifolds with integral bounds on curvature. I
• Integral curvature bounds and bounded diameter