Dergiler / Communications Faculty of Sciences University of Ankara Series A1: Mathematics and Statistics / 1999 / Cilt: 48 - Sayı: 1-2

Lorentzian circle as a Lie group and A $C^{infty}$ action on Lorentz spaces of two dimension

Lorentzian circle as a Lie group and A $C^{infty}$ action on Lorentz spaces of two dimension

Sayfa
73–78
DOI
—

Abstract

We define a product on Lorentz circle that is similar to Lorentzian inner product. This product is expanded to Lorents space of two dimension. So we have an $C^{infty}$ action of Lorentz circle on Lorents space of two dimension. It is noted that this action provides some isometrics of $L^2$.