Metrics of positive scalar curvature on spherical space forms

被引:17
作者
Botvinnik, B
Gilkey, PB
机构
[1] Mathematics Department, University of Oregon, Eugene
来源
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 1996年 / 48卷 / 01期
关键词
D O I
10.4153/CJM-1996-003-0
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We use the eta invariant to show every non-simply connected spherical space form of dimension m greater than or equal to 5 has a countable family of non bordant metrics of positive scalar curvature.
引用
收藏
页码:64 / 80
页数:17
相关论文
共 23 条
[1]   SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .2. [J].
ATIYAH, MF ;
PATODI, VK ;
SINGER, IM .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 78 (NOV) :405-432
[2]   SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .3. [J].
ATIYAH, MF ;
PATODI, VK ;
SINGER, IM .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1976, 79 (JAN) :71-99
[3]   SPECTRAL ASYMMETRY AND RIEMANNIAN GEOMETRY .1. [J].
ATIYAH, MF ;
PATODI, VK ;
SINGER, IM .
MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 1975, 77 (JAN) :43-69
[4]  
ATIYAH MF, 1973, B LOND MATH SOC, V5, P229, DOI 10.1112/blms/5.2.229
[5]   THE ETA-INVARIANT AND METRICS OF POSITIVE SCALAR CURVATURE [J].
BOTVINNIK, B ;
GILKEY, PB .
MATHEMATISCHE ANNALEN, 1995, 302 (03) :507-517
[6]  
BOTVINNIK B, 1994, I HAUTES ETUDES SCI, V62
[7]   ETA-INVARIANTS FOR G-SPACES [J].
DONNELLY, H .
INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1978, 27 (06) :889-918
[8]  
Gajer P., 1987, ANN GLOB ANAL GEOM, V5, P179, DOI [10.1007/BF00128019, DOI 10.1007/BF00128019]
[9]   PIN AND PIN' COBORDISM [J].
GIAMBALVO, V .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1973, 39 (02) :395-401
[10]  
Gilkey P.B, 1989, SERIES PURE MATH, V7