An n-dimensional space that admits a Poincare inequality but has no manifold points

被引：10

作者：

Hanson, B ^{[1
]}

Heinonen, J

机构：

[1] St Olaf Coll, Dept Math, Northfield, MN 55057 USA

[2] Univ Michigan, Dept Math, Ann Arbor, MI 48109 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 11期

关键词：

Poincare inequality; Ahlfors n-regular; manifold point;

D O I：

10.1090/S0002-9939-00-05453-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For each integer n greater than or equal to 2 we construct a compact, geodesic metric space X which has topological dimension n, is Ahlfors n-regular, satisfies the Poincare inequality, possesses R-n as a unique tangent cone at H-n almost every point, but has no manifold points.

引用

页码：3379 / 3390

页数：12

共 9 条

[1] Poincare inequalities and quasiconformal structure on the boundary of some hyperbolic buildings [J].