2000/10/29 by A. F. F. Teixeira, Teixeira, A. F. F.
Mathematics · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Astrophysics #COSMIC cancer database #Computer science #Conjugate #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geometry #Hyperbolic space #Isometry (Riemannian geometry) #Isometry group #Mathematical analysis #Mathematics #Orientation (vector space) #Physics #Pure mathematics #Scientific Research and Discoveries #Space (punctuation) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/0010107
18 pages, 16 figures included
arxiv created 2000/10/29 · openalex publication_date 2000/10/29 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
All orientation preserving isometries of the hyperbolic three-space are studied, and the probability density of conjugate pair separations for each isometry is presented. The study is relevant for the cosmic crystallography, and is the theoretical counterpart of the mean histograms arising from computer simulations of the isometries.