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：
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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.
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页码：109 / 120
页数：11
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