共 1 条
[1]
Ionin V. K.(1972)Isoperimetric inequalities in simply connected Riemannian spaces of nonpositive curvature Dokl. Akad. Nauk SSSR 203 282-284
Two Special Simply Connected Spaces of Nonpositive Curvature
被引：0
作者：
V. K. Ionin
机构：
[1] Sobolev Institute of Mathematics,
来源：
Siberian Mathematical Journal
|
2003年
/
44卷
关键词：
metric;
simplex;
face;
curvature;
manifold;
geodesic;
space;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct two examples of spaces homeomorphic to Rn (n≥3) each of which has a closed geodesic and admits no isoperimetric inequality. The first is a complete polyhedral metric space of nonpositive curvature, and the second is an incomplete Riemannian space with nonpositive sectional curvatures.
引用
收藏
页码：807 / 812
页数：5
相关论文