On Conformal Curves in 2-Dimensional de Sitter Space

Şimşek, Hakan; ÖZDEMİR, MUSTAFA

doi:10.1007/s00006-015-0614-1

On Conformal Curves in 2-Dimensional de Sitter Space

Şimşek H., ÖZDEMİR M.

ADVANCES IN APPLIED CLIFFORD ALGEBRAS, cilt.26, sa.2, ss.757-770, 2016 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 26 Sayı: 2
Basım Tarihi: 2016
Doi Numarası: 10.1007/s00006-015-0614-1
Dergi Adı: ADVANCES IN APPLIED CLIFFORD ALGEBRAS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.757-770
Anahtar Kelimeler: De Sitter space, Loxodrome, Clifford algebras
Akdeniz Üniversitesi Adresli: Evet

Özet

In this paper, we examine the pseudo-spherical curves, which are equivalent to each other under the conformal maps preserving a fixed point in the de Sitter 2-space, by using the Clifford algebra Cl (2,1). Also, we find the parametric equations of de Sitter loxodromes.