Pregled bibliografske jedinice broj: 959625
Generalization of the Cayley transform in 3D homogeneous geometries
Generalization of the Cayley transform in 3D homogeneous geometries // Turkish Journal of Mathematics, 42 (2018), 2942-2952 doi:10.3906/mat-1802-28 (međunarodna recenzija, članak, znanstveni)
CROSBI ID: 959625 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Generalization of the Cayley transform in 3D homogeneous geometries
Autori
Erjavec, Zlatko
Izvornik
Turkish Journal of Mathematics (1300-0098) 42
(2018);
2942-2952
Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni
Ključne riječi
Cayley transform, homogeneous geometry, isometry
Sažetak
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.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet organizacije i informatike, Varaždin
Profili:
Zlatko Erjavec
(autor)
Citiraj ovu publikaciju:
Časopis indeksira:
- Web of Science Core Collection (WoSCC)
- Science Citation Index Expanded (SCI-EXP)
- SCI-EXP, SSCI i/ili A&HCI
- Scopus
