Warped Products and Conformal Boundaries of CAT(0)-Spaces

被引：0
|
作者：
Stephen M. Buckley
Simon L. Kokkendorff
机构：
[1] National University of Ireland,Department of Mathematics
[2] Technical University of Denmark,Department of Mathematics
来源：
Journal of Geometric Analysis | 2008年 / 18卷
关键词：
Length space; Conformal boundary; Ideal boundary; Warped product; CAT(0)-space; Fundamental group; 53C20; 53C22; 53A30;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We discuss the conformal boundary of a warped product of two length spaces and provide a method to calculate this in terms of the individual conformal boundaries. This technique is then applied to produce CAT(0)-spaces with complicated conformal boundaries. Finally, we prove that the conformal boundary of an Hadamard n-manifold is always simply connected for n≥3, thus providing a bound for the level of complication of the boundary of such a manifold.
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收藏
页码：704 / 719
页数：15
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