Publication: Embedding of hyperbolic spaces in the product of trees
Embedding of hyperbolic spaces in the product of trees
Date
Date
Date
2005
Journal Article
Published version
Citations
Buyalo, S., & Schroeder, V. (2005). Embedding of hyperbolic spaces in the product of trees. Geometriae Dedicata, 113(1), 75–93. https://doi.org/10.1007/s10711-005-3124-9
Abstract
Abstract
Abstract
We show that for each n\ge 2 there is a quasi-isometric embedding of the hyperbolic space H^n in the product T^n=Tx...xT of n copies of a (simplicial) metric tree T. On the other hand, we prove that there is no quasi-isometric embedding H^2 --> TxR^m for any metric tree T and any m\ge 0
Metrics
Downloads
109 since deposited on 2010-02-08
Acq. date: 2025-11-14
Views
114 since deposited on 2010-02-08
Acq. date: 2025-11-14
Additional indexing
Creators (Authors)
- Buyalo, S
- Schroeder, Viktor
Volume
Volume
Volume
113
Number
Number
Number
1
Page range/Item number
Page range/Item number
Page range/Item number
75
Page end
Page end
Page end
93
Item Type
Item Type
Item Type
Journal Article
In collections
Keywords
hyperbolic spaces - quasi-isometries
Language
Language
Language
English
Publication date
Publication date
Publication date
2005
Date available
Date available
Date available
2010-02-08
ISSN or e-ISSN
ISSN or e-ISSN
ISSN or e-ISSN
0046-5755
Additional Information
Additional Information
Additional Information
The original publication is available at www.springerlink.com
OA Status
OA Status
OA Status
Green
Publisher DOI
Metrics
Downloads
109 since deposited on 2010-02-08
Acq. date: 2025-11-14
Views
114 since deposited on 2010-02-08
Acq. date: 2025-11-14
Citations
Buyalo, S., & Schroeder, V. (2005). Embedding of hyperbolic spaces in the product of trees. Geometriae Dedicata, 113(1), 75–93. https://doi.org/10.1007/s10711-005-3124-9
Green Open Access
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