| Title:
|
Proportionality principle for cusped manifolds (English) |
| Author:
|
Kuessner, Thilo |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
43 |
| Issue:
|
5 |
| Year:
|
2007 |
| Pages:
|
485-490 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We give a short proof of the proportionality principle for cusped hyperbolic manifolds. (English) |
| Keyword:
|
hyperbolic volume |
| Keyword:
|
simplicial volume |
| MSC:
|
57N16 |
| MSC:
|
57Nxx |
| idZBL:
|
Zbl 1199.57012 |
| idMR:
|
MR2381790 |
| . |
| Date available:
|
2008-06-06T22:52:17Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/108086 |
| . |
| Reference:
|
[1] Benedetti R., Petronio C.: Lectures on Hyperbolic Geometry.Universitext, Springer-Verlag, Berlin (1992). Zbl 0768.51018, MR 1219310 |
| Reference:
|
[2] Francaviglia S.: Hyperbolic volume of representations of fundamental groups of cusped 3-manifolds.IMRN 9 (2004), 425–459. Zbl 1088.57015, MR 2040346 |
| Reference:
|
[3] Gromov M.: Volume and bounded cohomology.Public. Math. IHES 56 (1982), 5–100. Zbl 0516.53046, MR 0686042 |
| Reference:
|
[4] Löh C.: Measure homology and singular homology are isometrically isomorphic.Math. Z. 253 (2006), 197–218. Zbl 1093.55004, MR 2206643 |
| Reference:
|
[5] Ratcliffe J.: Foundations of Hyperbolic Manifolds.Graduate Texts in Mathematics, Springer-Verlag, Berlin (1994). Zbl 0809.51001, MR 1299730 |
| Reference:
|
[6] W. Thurston: The Geometry and Topology of 3-Manifolds.Lecture Notes, Princeton. |
| . |
