An eigenvalue bound for compact manifolds with varying curvature

DOI10.1007/BF00127861zbMath0685.53036OpenAlexW2043648779MaRDI QIDQ1826145

E. Brian Davies

Publication date: 1989

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00127861

zbMATH Keywords

Ricci tensorLaplacianlowest non-zero eigenvalue

Mathematics Subject Classification ID

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

Cites Work

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• On the parabolic kernel of the Schrödinger operator
• Curvature, diameter and Betti numbers
• Three-manifolds with positive Ricci curvature
• The splitting theorem for manifolds of nonnegative Ricci curvature
• A lower bound for the heat kernel

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