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Estimate on lower bound of the first eigenvalue of a compact Riemannian manifold

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Publication:1192376
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zbMath0754.53029MaRDI QIDQ1192376

Kairen Cai

Publication date: 27 September 1992

Published in: Chinese Annals of Mathematics. Series B (Search for Journal in Brave)


zbMATH Keywords

Laplace operatorRicci curvaturediameter


Mathematics Subject Classification ID

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


Related Items (5)

General formula for lower bound of the first eigenvalue on Riemannian manifolds ⋮ Coupling, spectral gap and related topics. II ⋮ De Sitter-eating O-planes in supercritical string theory ⋮ Linear approximation of the first eigenvalue on compact manifolds ⋮ Some new results on eigenvectors via dimension, diameter, and Ricci curvature




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