Article
Keywords:
hyperbolic volume; simplicial volume
Summary:
We give a short proof of the proportionality principle for cusped hyperbolic manifolds.
References:
[1] Benedetti R., Petronio C.:
Lectures on Hyperbolic Geometry. Universitext, Springer-Verlag, Berlin (1992).
MR 1219310 |
Zbl 0768.51018
[2] Francaviglia S.:
Hyperbolic volume of representations of fundamental groups of cusped 3-manifolds. IMRN 9 (2004), 425–459.
MR 2040346 |
Zbl 1088.57015
[4] Löh C.:
Measure homology and singular homology are isometrically isomorphic. Math. Z. 253 (2006), 197–218.
MR 2206643 |
Zbl 1093.55004
[5] Ratcliffe J.:
Foundations of Hyperbolic Manifolds. Graduate Texts in Mathematics, Springer-Verlag, Berlin (1994).
MR 1299730 |
Zbl 0809.51001
[6] W. Thurston: The Geometry and Topology of 3-Manifolds. Lecture Notes, Princeton.