Bundle stabilisation and positive Ricci curvature

被引：4
|
作者：
Wraith, David J. [1 ]
机构：
[1] Natl Univ Ireland, Dept Math, Maynooth, Kildare, Ireland
来源：
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2007年 / 25卷 / 05期
关键词：
positive Ricci curvature; non-negative Ricci curvature; bundles;
D O I：
10.1016/j.difgeo.2007.06.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
If E is the total space of a vector bundle over a compact Ricci non-negative manifold, it is known that E x R-P admits a complete metric of positive Ricci curvature for all sufficiently large p. In this paper we establish a small, explicit lower bound for the dimension p. (c) 2007 Elsevier B.V. All rights reserved.
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页码：552 / 560
页数：9
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