Generalization of the Cayley transform in 3D homogeneous geometries (CROSBI ID 255210)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Erjavec, Zlatko
engleski
Generalization of the Cayley transform in 3D homogeneous geometries
The Cayley transform maps the unit disk onto the upper half-plane, conformally and isometrically. In this paper, we generalize the Cayley transform in three-dimensional homogeneous geometries which are fiber bundles over the hyperbolic plane. Obtained generalizations are isometries between existing models in corresponding homogeneous geometries. Particularly, constructed isometry between two models of SL(2, R) geometry is nontrivial and enables comparison and transfer of known and even future results between these two models.
Cayley transform, homogeneous geometry, isometry
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano