Proportionality principle for cusped manifolds
Archivum Mathematicum (2007)
- Volume: 043, Issue: 5, page 485-490
- ISSN: 0044-8753
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topKuessner, Thilo. "Proportionality principle for cusped manifolds." Archivum Mathematicum 043.5 (2007): 485-490. <http://eudml.org/doc/250168>.
@article{Kuessner2007,
abstract = {We give a short proof of the proportionality principle for cusped hyperbolic manifolds.},
author = {Kuessner, Thilo},
journal = {Archivum Mathematicum},
keywords = {hyperbolic volume; simplicial volume; hyperbolic volume; simplicial volume},
language = {eng},
number = {5},
pages = {485-490},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Proportionality principle for cusped manifolds},
url = {http://eudml.org/doc/250168},
volume = {043},
year = {2007},
}
TY - JOUR
AU - Kuessner, Thilo
TI - Proportionality principle for cusped manifolds
JO - Archivum Mathematicum
PY - 2007
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 043
IS - 5
SP - 485
EP - 490
AB - We give a short proof of the proportionality principle for cusped hyperbolic manifolds.
LA - eng
KW - hyperbolic volume; simplicial volume; hyperbolic volume; simplicial volume
UR - http://eudml.org/doc/250168
ER -
References
top- Benedetti R., Petronio C., Lectures on Hyperbolic Geometry, Universitext, Springer-Verlag, Berlin (1992). (1992) Zbl0768.51018MR1219310
- Francaviglia S., Hyperbolic volume of representations of fundamental groups of cusped 3-manifolds, IMRN 9 (2004), 425–459. Zbl1088.57015MR2040346
- Gromov M., Volume and bounded cohomology, Public. Math. IHES 56 (1982), 5–100. (1982) Zbl0516.53046MR0686042
- Löh C., Measure homology and singular homology are isometrically isomorphic, Math. Z. 253 (2006), 197–218. Zbl1093.55004MR2206643
- Ratcliffe J., Foundations of Hyperbolic Manifolds, Graduate Texts in Mathematics, Springer-Verlag, Berlin (1994). (1994) Zbl0809.51001MR1299730
- W. Thurston, The Geometry and Topology of 3-Manifolds, Lecture Notes, Princeton.
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