Foertsch, T (2002). The hyperbolic rank of homogeneous Hadamard manifolds. Manuscripta Mathematica, 109(1):109-120.
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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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|Item Type:||Journal Article, refereed, original work|
|Communities & Collections:||07 Faculty of Science > Institute of Mathematics|
|Uncontrolled Keywords:||Hadamard manifold; homogeneous spaces; rank; geodesic hyperbolic spaces|
|Deposited On:||29 Nov 2010 16:27|
|Last Modified:||27 Nov 2013 22:00|
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