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Foertsch, T (2002). The hyperbolic rank of homogeneous Hadamard manifolds. Manuscripta Mathematica, 109(1):109-120.
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.
| Item Type: | Journal Article, refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Mathematics |
| Uncontrolled Keywords: | Hadamard manifold, homogeneous spaces, rank, geodesic hyperbolic spaces |
| Language: | English |
| Date: | 2002 |
| Deposited On: | 29 Nov 2010 16:27 |
| Last Modified: | 07 Jan 2025 04:40 |
| Publisher: | Springer |
| ISSN: | 0025-2611 |
| OA Status: | Closed |
| Publisher DOI: | https://doi.org/10.1007/s00229-002-0294-8 |
| Related URLs: | http://www.zentralblatt-math.org/zbmath/search/?q=an%3A1020.53017 http://www.ams.org/mathscinet-getitem?mr=1931212 |
Foertsch, T