Small eigenvalues of the Conformal Laplacian

被引：9
|
作者：
Bär, C
Dahl, M
机构：
[1] Univ Hamburg, FB Math, D-20146 Hamburg, Germany
[2] Inst Matemat, S-10044 Stockholm, Sweden
来源：
GEOMETRIC AND FUNCTIONAL ANALYSIS | 2003年 / 13卷 / 03期
关键词：
D O I：
10.1007/s00039-003-0419-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce a differential topological invariant for compact differentiable manifolds by counting the small eigenvalues of the Conformal Laplace operator. This invariant vanishes if and only if the manifold has a metric of positive scalar curvature. We show that the invariant does not increase under surgery of codimension at least three and we give lower and upper bounds in terms of the alpha-genus.
引用
收藏
页码：483 / 508
页数：26
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