Lower bounds for eigenfunctions on Riemannian manifolds

DOI10.1007/BF01458534zbMath0619.58038WikidataQ115393441 ScholiaQ115393441MaRDI QIDQ1089661

Harold Donnelly

Publication date: 1988

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164345

zbMATH Keywords

Ricci curvatureessential spectrumexponential lower boundeigenfunction of the Laplacian

Mathematics Subject Classification ID

Invariance and symmetry properties for PDEs on manifolds (58J70) Global Riemannian geometry, including pinching (53C20)

Cites Work

• Function theory on manifolds which possess a pole
• On the essential spectrum of a complete Riemannian manifold
• Eigenvalues embedded in the continuum for negatively curved manifolds
• Eigenforms of the laplacian on complete riemannian manifolds
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• A lower bound for the heat kernel
• Differential equations on riemannian manifolds and their geometric applications
• Asymptotic decay of the solution of a second-order elliptic equation in an unbounded domain. Applications to the spectral properties of a Hamiltonian
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item