We give a short proof of the proportionality principle for cusped hyperbolic manifolds.
@article{108086, author = {Thilo Kuessner}, title = {Proportionality principle for cusped manifolds}, journal = {Archivum Mathematicum}, volume = {043}, year = {2007}, pages = {485-490}, zbl = {1199.57012}, mrnumber = {2381790}, language = {en}, url = {http://dml.mathdoc.fr/item/108086} }
Kuessner, Thilo. Proportionality principle for cusped manifolds. Archivum Mathematicum, Tome 043 (2007) pp. 485-490. http://gdmltest.u-ga.fr/item/108086/
Lectures on Hyperbolic Geometry, Universitext, Springer-Verlag, Berlin (1992). (1992) | MR 1219310 | Zbl 0768.51018
Hyperbolic volume of representations of fundamental groups of cusped 3-manifolds, IMRN 9 (2004), 425–459. | MR 2040346 | Zbl 1088.57015
Volume and bounded cohomology, Public. Math. IHES 56 (1982), 5–100. (1982) | MR 0686042 | Zbl 0516.53046
Measure homology and singular homology are isometrically isomorphic, Math. Z. 253 (2006), 197–218. | MR 2206643 | Zbl 1093.55004
Foundations of Hyperbolic Manifolds, Graduate Texts in Mathematics, Springer-Verlag, Berlin (1994). (1994) | MR 1299730 | Zbl 0809.51001
The Geometry and Topology of 3-Manifolds, Lecture Notes, Princeton.