EIGENVALUES OF LAPLACIANS ON A CLOSED RIEMANNIAN MANIFOLD AND ITS NETS
EIGENVALUES OF LAPLACIANS ON A CLOSED RIEMANNIAN MANIFOLD AND ITS NETS
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DOI：
10.2307/2161293
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发表时间：
1995-08-01
影响因子：
1
通讯作者：
FUJIWARA, K
中科院分区：
文献类型：
--
作者：
FUJIWARA, K
我们证明了闭流形M的拉普拉斯算子的特征值在某种意义上可以用M中的1/n-网的图的拉普拉斯算子的特征值来逼近。我们的近似除了维数外不需要对M作任何假设。
We show that the eigenvalues of the Laplacian of a closed manifold M is approximated in a certain sense by the eigenvalues of the Laplacian of the graph of a 1/n-net in M as n --> infinity. Our approximation needs no assumption on M except for dimension.