EIGENVALUES OF THE LAPLACIAN ON RIEMANNIAN MANIFOLDS

DOI10.1142/S0129167X1250067XzbMath1251.35052arXiv1104.4847WikidataQ115246528 ScholiaQ115246528MaRDI QIDQ2909463

Qing-Ming Cheng, Xuerong Qi

Publication date: 30 August 2012

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1104.4847

zbMATH Keywords

eigenvalueRiemannian manifoldLaplacianeigenfunctioninequality for eigenvalues

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spectral theory; eigenvalue problems on manifolds (58C40)

Cites Work

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• Universal inequalities for the eigenvalues of Laplace and Schrödinger operators on submanifolds
• Proof of the Payne-Pólya-Weinberger conjecture
• More Bounds on Eigenvalue Ratios for Dirichlet Laplacians inNDimensions

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