- Communications Faculty of Sciences University Ankara Series A1 Mathematics and Statistics
- Vol: 54 Issue: 02
- lorentzian cylinder lie GROUP in Rf AND ITS A C°°-ACTION
lorentzian cylinder lie GROUP in Rf AND ITS A C°°-ACTION
Authors : Halit Gündoğan
Pages : 0-0
Doi:10.1501/Commua1_0000000329
View : 7 | Download : 4
Publication Date : 2005-01-01
Article Type : Research
Abstract :Ih thia paper, two binary operations on Lorentzian sphere in Rj and on Lorentzian cylinder in Rj are defined. Also, it has been shown that Lorentzian sphere in R| and Lorentzian cylinder in R® with the corresponding binary operation form Lie groups. A C°°-action on Lorentzian cylinder of arbitrary radius of Lorentzian cylinder of radius one is defined in R® and its •soıne properties are given. Finally, the action is expanded to Rj.Keywords : lie GROUP, lorentzian cylinder, C°°-ACTION