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gr-qc2000
Cosmic crystallography: the hyperbolic isometries
A. F. F. Teixeira
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…
gr-qc2000
Cosmic crystallography in a circle
A. F. F. Teixeira
In a circle (an S^1) with circumference 1 assume m objects distributed pseudo-randomly. In the universal covering R^1 assume the objects replicated accordingly, and take an interva…
gr-qc2000
Cosmic crystallography: the euclidean isometries
A. Bernui, A. F. F. Teixeira
Exact expressions for probability densities of conjugate pair separation in euclidean isometries are obtained, for the cosmic crystallography.These are the theoretical counterparts…