Macroscopic Dimension and Essential Manifolds

被引：3
|
作者：
Dranishnikov, A. N. [1 ]
机构：
[1] Univ Florida, Dept Math, Gainesville, FL 32611 USA
来源：
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS | 2011年 / 273卷 / 01期
关键词：
RIEMANNIAN-MANIFOLDS; SCALAR CURVATURE;
D O I：
10.1134/S0081543811040043
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
M. Gromov asked whether the macroscopic dimension of rationally essential n-dimensional manifolds equals n. We show that the answer depends only on the corresponding group homology class and give an affirmative answer for certain classes. In particular, the answer is positive for manifolds with amenable fundamental groups.
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页码：35 / 47
页数：13
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