Formulas on hyperbolic volume

Details Formulas on hyperbolic volume Formulas on hyperbolic volume

2010-10-26

arxiv.org/abs/1010.5321v3

Mathematics

Metric Geometry

7 figures

Scientific paper

This paper collects some important formulas on hyperbolic volume. To
determine concrete values of volume function is a very hard question requiring
the knowledge of various methods. Our goal to give a non-elementary integral on
the volume of the orthosceme (obtain it without using the Schl\"afli
differential formula), using edge-lengthes as the only parameters.

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