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Formulas on hyperbolic volume

2010/10/26 by Ákos G. Horváth, Á. G. Horváth, Horváth, Á. G.
Computer Science · Mathematics · #52C17 #Advanced Mathematical Theories #Computational Geometry and Mesh Generation #FOS: Mathematics #Mathematics and Applications #Metric Geometry (math.MG) #math.MG #msc:52C17

paper · pdf · doi:10.48550/arxiv.1010.5321

7 figures

openalex publication_date 2010/10/26 · arxiv created 2010/11/16 · arxiv updated 2010/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 Schläfli differential formula), using edge-lengthes as the only parameters.

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