The hyperbolic rank of homogeneous Hadamard manifolds

被引：0

作者：

Thomas Foertsch

机构：

[1] Universität Zürich,

[2] Mathematisches Institut,undefined

[3] Winterthurerstrasse 190,undefined

[4] CH-8057 Zürich,undefined

[5] Switzerland. e-mail: foertsch@math.unizh.ch,undefined

来源：

manuscripta mathematica | 2002年 / 109卷

关键词：

Symmetric Space; Hyperbolic Space; Analogue Statement; Riemannian Product; Hadamard Manifold;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

From results in [BrFa] it follows that for Riemannian products of real hyperbolic spaces the sum of the Euclidean rank and the hyperbolic rank is at least the product's dimension. In [Leu] the author proved that, more generally, the same holds for symmetric spaces of non-compact type. In this paper we prove the analogue statement for arbitrary homogeneous Hadamard manifolds.

引用

页码：109 / 120

页数：11

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