Lorentzian cylinder Lie group in R51 and its a C∞-action
Yükleniyor...
Tarih
2005
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
Bu çalışmadaR_14 de Lorentz birim küresi veR_15 de Lorentz silindiri üzerinde birer grup işlemi tanımlandı ve bu işlemlerle birlikte bunların birer Lie grubu olduğu gösterildi. R\ de 1-yarıçaplı Lorentz silindir Lie grubunun, keyfi yarıçaplı Lorentz silindir manifoldu üzerine bir C{\infty}-etkisi tanımlanarak bu etkinin bazı özellikleri incelendi. Ayrıca bu etki R_15 üzerine genişletildi.
In this paper, two binary operations on Lorentzian sphere in R_14 and on Lorentzian cylinder in R_15 are defined. Also, it has been shown that Lorentzian sphere in R_14 and Lorentzian cylinder in R_15 with the corresponding binary operation form Lie groups. A C{\infty}-action on Lorentzian cylinder of arbitrary radius of Lorentzian cylinder of radius one is defined inR_15 and its Home properties are given. Finally, the action is expanded to R_15.
In this paper, two binary operations on Lorentzian sphere in R_14 and on Lorentzian cylinder in R_15 are defined. Also, it has been shown that Lorentzian sphere in R_14 and Lorentzian cylinder in R_15 with the corresponding binary operation form Lie groups. A C{\infty}-action on Lorentzian cylinder of arbitrary radius of Lorentzian cylinder of radius one is defined inR_15 and its Home properties are given. Finally, the action is expanded to R_15.
Açıklama
Anahtar Kelimeler
Matematik, İstatistik ve Olasılık
Kaynak
Communications Series A1: Mathematics and Statistics
WoS Q Değeri
Scopus Q Değeri
Cilt
54
Sayı
2
Künye
Gündoğan, H., Pektaş, K. (2005). Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{\infty}$-action. Communications Series A1: Mathematics and Statistics, 54(2), 33 - 37.
