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On Generalization of Cayley Transform in 3D Homogeneous Geometries (CROSBI ID 655328)

Prilog sa skupa u zborniku | sažetak izlaganja sa skupa | međunarodna recenzija

Erjavec, Zlatko 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

Podaci o odgovornosti

Erjavec, Zlatko

engleski

On Generalization of Cayley Transform in 3D Homogeneous Geometries

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.

Cayley transform, SL(2, R) space, H2×R space

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Podaci o prilogu

12-12.

2017.

objavljeno

Podaci o matičnoj publikaciji

Abstracts of 20th Scientific-Professional Colloquium on Geometry and Graphics

Došlić T., Jurkin E.

Zagreb: Hrvatsko društvo za geometriju i grafiku

Podaci o skupu

20th Scientific- Professional Colloquium on Geometry and Graphics

predavanje

03.09.2017-07.09.2017

Fužine, Hrvatska

Povezanost rada

Matematika