Yıl: 2005 Cilt: 54 Sayı: 2 Sayfa Aralığı: 33 - 37 Metin Dili: Türkçe İndeks Tarihi: 29-07-2022

Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action

Öz:
Bu çalışmada$R_1^4$ de Lorentz birim küresi ve$R_1^5$ 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 $R_1^5$ üzerine genişletildi.
Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık

-

Öz:
In this paper, two binary operations on Lorentzian sphere in $R_1^4$ and on Lorentzian cylinder in $R_1^5$ are defined. Also, it has been shown that Lorentzian sphere in $R_1^4$ and Lorentzian cylinder in $R_1^5$ 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 in$R_1^5$ and its Home properties are given. Finally, the action is expanded to $R_1^5$.
Anahtar Kelime:

Konular: Matematik İstatistik ve Olasılık
Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • 1.Boothby, W. M.,"An Introduction to Differentiable Manifolds and Riemanian Geometry" Acedemic Press, New York, 1975.
  • 2.Brickel, F.-Clark, R. S., "Differentiable Manifolds An Introduction" Van Nostrand Reinhold Comp., London, 1970.
  • 3.Gündoğan, H., "The Cylinder Lie Group in $E^5$ and Its Action As Lie Transformation Group" Algebras, Groups and Geometries 14, 453-459 (1997).
  • 4.O'Neill, B., "Semi-Riemann Geometry with Application to Relativity" Academic Press, New York,1983.
  • 5.Uğurlu, H. H.,"IR 3-1 Minkowski 3-Uzayında Lie Grup Yapıları ve $C^{infty}$-Etkiler" (Doktora Tezi (Ph. D. Thesis)), Gazi Üniversitesi Fen Bilimleri Enstitüsü, Ankara, 1991.
APA Gündoğan H, PEKTAŞ K (2005). Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action. , 33 - 37.
Chicago Gündoğan Halit,PEKTAŞ Kadriye Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action. (2005): 33 - 37.
MLA Gündoğan Halit,PEKTAŞ Kadriye Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action. , 2005, ss.33 - 37.
AMA Gündoğan H,PEKTAŞ K Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action. . 2005; 33 - 37.
Vancouver Gündoğan H,PEKTAŞ K Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action. . 2005; 33 - 37.
IEEE Gündoğan H,PEKTAŞ K "Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action." , ss.33 - 37, 2005.
ISNAD Gündoğan, Halit - PEKTAŞ, Kadriye. "Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action". (2005), 33-37.
APA Gündoğan H, PEKTAŞ K (2005). Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 54(2), 33 - 37.
Chicago Gündoğan Halit,PEKTAŞ Kadriye Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 54, no.2 (2005): 33 - 37.
MLA Gündoğan Halit,PEKTAŞ Kadriye Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, vol.54, no.2, 2005, ss.33 - 37.
AMA Gündoğan H,PEKTAŞ K Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2005; 54(2): 33 - 37.
Vancouver Gündoğan H,PEKTAŞ K Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action. Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics. 2005; 54(2): 33 - 37.
IEEE Gündoğan H,PEKTAŞ K "Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action." Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics, 54, ss.33 - 37, 2005.
ISNAD Gündoğan, Halit - PEKTAŞ, Kadriye. "Lorentzian cylinder Lie group in $R_1^5$ and its a $C^{infty}$-action". Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics 54/2 (2005), 33-37.