Convergence of Riemannian Manifolds and Laplace Operators, II |
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Authors: | Atsushi Kasue |
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Institution: | (1) Department of Mathematics, Kanazawa University, Kanazawa 920-1192, Japan |
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Abstract: | We study spectral convergence of compact Riemannian manifolds or more generally certain Dirichlet spaces, obtaining some compactness
results on harmonic functions and harmonic maps.
Mathematics Subject Classifications (2000) 53C21, 58D17, 58J50.
Atsushi Kasue: Partly supported by the Grant-in-Aid for Scientific Research (B) No. 15340053 of the Japan Society for the
Promotion of Science. |
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Keywords: | Riemannian manifold spectral convergence Dirichlet space harmonic function harmonic map |
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