On higher eta-invariants and metrics of positive scalar curvature

被引：25
|
作者：
Leichtnam, E
Piazza, P
机构：
[1] Inst Jussieu Chevaleret, F-75013 Paris, France
[2] Univ Roma La Sapienza, Dipartimento Matemat Guido Castelnuovo, I-00185 Rome, Italy
来源：
K-THEORY | 2001年 / 24卷 / 04期
关键词：
bordism groups; positive scalar curvature metrics; Galois coverings; higher eta-invariants; higher rho-invariants; b-pseudodifferential calculus; higher APS index formula;
D O I：
10.1023/A:1014079307698
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let N be a closed connected spin manifold admitting one metric of positive scalar curvature. In this paper we use the higher eta-invariant associated to the Dirac operator on N in order to distinguish metrics of positive scalar curvature on N. In particular, we give sufficient conditions, involving pi(1)(N) and dim N, for N to admit an infinite number of metrics of positive scalar curvature that are nonbordant.
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页码：341 / 359
页数：19
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