Bounds for Eigenfunctions of the Laplacian on Compact Riemannian Manifolds

Harold Donnelly

doi:10.1006/jfan.2001.3817

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Bounds for Eigenfunctions of the Laplacian on Compact Riemannian Manifolds

Harold Donnelly

Year: 2001 Journal: Journal of Functional Analysis Vol: 187 (1)Pages: 247-261 Publisher: Elsevier BV

DOI: 10.1006/jfan.2001.3817

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Keywords:

Mathematics Eigenfunction Sectional curvature Upper and lower bounds Laplace operator Eigenvalues and eigenvectors Metric (unit) Mathematical analysis Pure mathematics Dimension (graph theory) Curvature Riemannian manifold RADIUS Combinatorics Geometry Scalar curvature

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Geometric Analysis and Curvature Flows

Physical Sciences → Mathematics → Applied Mathematics

Analytic and geometric function theory

Physical Sciences → Mathematics → Geometry and Topology

Nonlinear Partial Differential Equations

Physical Sciences → Mathematics → Applied Mathematics

Bounds for Eigenfunctions of the Laplacian on Compact Riemannian Manifolds

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