Convergence of Riemannian manifolds and Laplace operators. I

DOI10.5802/aif.1916zbMath1040.53053OpenAlexW2498687110WikidataQ115159049 ScholiaQ115159049MaRDI QIDQ1613978

Atsushi Kasue

Publication date: 3 September 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2002__52_4_1219_0

zbMATH Keywords

eigenvalueLaplace operatorheat kernelGromov-Hausdorff distancespectral convergenceenergy form

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (8)

On Calabi's strong maximum principle via local semi-Dirichlet forms ⋮ Spectral convergence of conformally immmersed surfaces with bounded mean curvature ⋮ Collapsing to Riemannian manifolds with boundary and the convergence of the eigenvalues of the Laplacian ⋮ A weakly second-order differential structure on rectifiable metric measure spaces ⋮ Convergence of Riemannian manifolds and Laplace operators. II ⋮ Convergence of metric graphs and energy forms ⋮ The embedding dimension of Laplacian eigenfunction maps ⋮ Approximation of partial differential equations on compact resistance spaces

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