Spectral convergence of Riemannian manifolds. II

DOI10.2748/tmj/1178225413zbMath0853.58100OpenAlexW2023222785WikidataQ115227262 ScholiaQ115227262MaRDI QIDQ1915242

Hironori Kumura, Atsushi Kasue

Publication date: 18 July 1996

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225413

zbMATH Keywords

heat kernelspectral distanceHausdorff distancecompactness theorems

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Heat and other parabolic equation methods for PDEs on manifolds (58J35)

Related Items (max. 100)

Convergence of Riemannian manifolds and Laplace operators. I ⋮ Reconstruction and stability in Gelfand's inverse interior spectral problem ⋮ Spectral convergence of conformally immmersed surfaces with bounded mean curvature ⋮ A weakly second-order differential structure on rectifiable metric measure spaces ⋮ Convergence of continuous stochastic processes on compact metric spaces converging in the Lipschitz distance ⋮ Degeneration of algebraic manifolds and the spectrum of Laplacian ⋮ <i>H</i>-Compactness of Elliptic Operators on Weighted Riemannian Manifolds ⋮ Convergence of Dirichlet forms induced on boundaries of transient networks ⋮ Convergence of metric graphs and energy forms ⋮ Convergence of Brownian motions on metric measure spaces under Riemannian curvature-dimension conditions ⋮ The embedding dimension of Laplacian eigenfunction maps ⋮ Harmonic functions on asymptotic cones with Euclidean volume growth

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• Diffusion processes in a small time interval

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