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Convergence of Riemannian Manifolds and Laplace Operators, II
Authors:Atsushi Kasue
Institution:(1) Department of Mathematics, Kanazawa University, Kanazawa 920-1192, Japan
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.
Keywords:Riemannian manifold  spectral convergence  Dirichlet space  harmonic function  harmonic map
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