Generalization of the Cayley transform in 3D homogeneous geometries

ZLATKO ERJAVEC

Makale detayları

Generalization of the Cayley transform in 3D homogeneous geometries

Yazarlar:

ZLATKO ERJAVEC

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 6, pp.2942-2952

Belge Tipi:

Makale

Yayın Tarihi:

11/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745720

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098

Özet:

 

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)SL(2,R)~\widetilde{SL(2,\mathbb{R})}} geometry is nontrivial and enables comparison and transfer of known and even future results between these two models.

Makale detayları

Generalization of the Cayley transform in 3D homogeneous geometries

Yazarlar: ZLATKO ERJAVEC

Yayıncı: TUBITAK

Dergi: Turkish Journal of Mathematics 2018 Vol.42 Issue 6, pp.2942-2952

Belge Tipi: Makale

Yayın Tarihi: 11/2018

Belge Dili: Türkçe

Document ID (Org No.): 2000745720

Sıklık: İki Aylık

eISSN: 1303-6149

pISSN: 1300-0098

Sayı

Yazarlar:

ZLATKO ERJAVEC

Yayıncı:

TUBITAK

Dergi:

Turkish Journal of Mathematics 2018 Vol.42 Issue 6, pp.2942-2952

Belge Tipi:

Makale

Yayın Tarihi:

11/2018

Belge Dili:

Türkçe

Document ID (Org No.):

2000745720

Sıklık:

İki Aylık

eISSN:

1303-6149

pISSN:

1300-0098