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Pregled bibliografske jedinice broj: 907508

On Generalization of Cayley Transform in 3D Homogeneous Geometries


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 (predavanje, međunarodna recenzija, sažetak, znanstveni)


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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:

Avatar Url Zlatko Erjavec (autor)


Citiraj ovu publikaciju:

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 (predavanje, međunarodna recenzija, sažetak, znanstveni)
Erjavec, Z. (2017) On Generalization of Cayley Transform in 3D Homogeneous Geometries. U: Došlić T., J. (ur.)Abstracts of 20th Scientific-Professional Colloquium on Geometry and Graphics.
@article{article, author = {Erjavec, Zlatko}, editor = {Do\v{s}li\'{c} T., J.}, year = {2017}, pages = {12-12}, keywords = {Cayley transform, SL(2, R) space, H2×R space}, title = {On Generalization of Cayley Transform in 3D Homogeneous Geometries}, keyword = {Cayley transform, SL(2, R) space, H2×R space}, publisher = {Hrvatsko dru\v{s}tvo za geometriju i grafiku}, publisherplace = {Fu\v{z}ine, Hrvatska} }
@article{article, author = {Erjavec, Zlatko}, editor = {Do\v{s}li\'{c} T., J.}, year = {2017}, pages = {12-12}, keywords = {Cayley transform, SL(2, R) space, H2×R space}, title = {On Generalization of Cayley Transform in 3D Homogeneous Geometries}, keyword = {Cayley transform, SL(2, R) space, H2×R space}, publisher = {Hrvatsko dru\v{s}tvo za geometriju i grafiku}, publisherplace = {Fu\v{z}ine, Hrvatska} }




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