Spectra of manifolds with small handles
Spectra of manifolds with small handles
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小手柄流形的光谱
DOI：
10.1007/bf02566200
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发表时间：
1981
影响因子：
0.9
通讯作者：
E. Feldman
中科院分区：
文献类型：
--
作者：
I. Chavel;E. Feldman
本文考虑n~ 2维紧致连通C= Riemann流形M，研究了在M上加一个”小”柄对作用于函数的Laplace-Beltrami算子A的谱的影响。我们考虑的句柄定义如下：在M中固定两个不同的点px，P2，并且对于e> 0，定义
In this paper we consider a compact connected C= Riemannian manifold M of dimension n~ 2 and study the effect, on the spectrum of the associated Laplace-Beltrami operator A acting on functions, of adding a" small" handle to M. The handles we consider are defined as follows: Fix two distinct points px, P2 in M and for e> 0 define