Pregled bibliografske jedinice broj: 907508
On Generalization of Cayley Transform in 3D Homogeneous Geometries
On Generalization of Cayley Transform in 3D Homogeneous Geometries // Abstracts of 20th Scientific-Professional Colloquium on Geometry and Graphics / Došlić T., Jurkin E. (ur.).
Zagreb: Hrvatsko društvo za geometriju i grafiku, 2017. str. 12-12 (predavanje, međunarodna recenzija, sažetak, znanstveni)
CROSBI ID: 907508 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
On Generalization of Cayley Transform in 3D Homogeneous Geometries
Autori
Erjavec, Zlatko
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, znanstveni
Izvornik
Abstracts of 20th Scientific-Professional Colloquium on Geometry and Graphics
/ Došlić T., Jurkin E. - Zagreb : Hrvatsko društvo za geometriju i grafiku, 2017, 12-12
Skup
20th Scientific-Professional Colloquium on Geometry and Graphics
Mjesto i datum
Fužine, Hrvatska, 03.09.2017. - 07.09.2017
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Cayley transform, SL(2, R) space, H2×R space
Sažetak
Cayley transform is the linear fractional transformation that maps the upper half-plane model of hyperbolic plane isometrically and conformally to the disk model of hyperbolic plane. In this talk we explain generalizations of Cayley transform in 3D homogeneous spaces SL(2, R) and H2×R both of which are based on the hyperbolic plane. Moreover, we prove that these generalizations are isometries between existing models of corresponding 3D homogeneous geometries.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
POVEZANOST RADA
Ustanove:
Fakultet organizacije i informatike, Varaždin
Profili:
Zlatko Erjavec
(autor)