Characterizations of the compactness of Riemannian manifolds by eigenfunctions, and a partial proof of a conjecture by Hamilton

DOI10.1216/RMJ-2016-46-2-461zbMath1345.35065WikidataQ115240032 ScholiaQ115240032MaRDI QIDQ309467

Xiang Gao

Publication date: 7 September 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.rmjm/1469537473

zbMATH Keywords

eigenvalueSchrödinger operatoreigenfunctionLaplacian operatorDirichlet eigenvalue

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05)

Cites Work

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• The Harnack estimate for the Ricci flow
• Four-manifolds with positive curvature operator
• Eigenvalue comparison theorems and its geometric applications
• Eigenfunctions and nodal sets
• Complete Riemannian manifolds with pointwise pinched curvature
• A note on the total curvature of a Kähler manifold
• Manifolds with positive curvature operators are space forms
• A theorem on Riemannian manifolds of positive curvature operator
• A Characterization of the 2-Sphere by Eigenfunctions

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