lorentzian cylinder lie GROUP in Rf AND ITS A C°°-ACTION

Authors : Halit GÜNDOĞAN

Pages : 0-0

Doi:10.1501/Commua1_0000000329

View : 11 | Download : 9

Publication Date : 2005-01-01

Article Type : Research Paper

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