Convergence of eigenvalues and Green functions under surgery type degeneration of Riemannian manifolds

被引：0
|
作者：
Lutz Habermann
Jürgen Jost
机构：
[1] Ruhr-Universität Bochum,Fakultät für Mathematik
[2] Max-Planck-Institut für Mathematik in den Naturwissenschaften,undefined
来源：
Calculus of Variations and Partial Differential Equations | 1997年 / 5卷
关键词：
Riemannian Manifold; Riemann Surface; Green Function; Compact Riemann Surface; Riemannian Metrics;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We study the asymptotics for the eigenvalues and eigenfunctions and the Green function for sequences of Riemannian metrics that converge to a smooth compact limit of different topology in a controlled manner, as encountered in surgery constructions. A model case is the Bergman metric on a family of degenerating Riemann surfaces with reducible limit.
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页码：137 / 158
页数：21
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