A Family of Minkowski-Type Spaces With General Connections

ABsTRAcT We observe the space with a general coection defined on the n-dimensional coordinate spaCe which is derived fom the so-called Minkowski world and whose geodesics are hyperbolas in general and a family of 4-dimensional spaces with general connections including this space and the one which is related with the spage with the Schwarzschild metric 4MS 1991 Mmc8 Su-ecClassifiction Primary 53CO553C22 Keyords and Pm5e8 infinity General connections Geodesics Minkowski at 141n andMI This is a continuation of the previous paper16in which we dened Eand Hfrom the Euclidean space En and the hyperbolic space Hn of curvature-1 as the spaces with general connebtions having the point at innity and the Absolute as their singular sets respectively We sha try to construct the same kind spaces with general connections by starting from the Minkowski world Let x lxn be the canonical coordinates of Rn and consider the ndamentaUbrm (11) n d82d(Xn)2 i1 - on the upper hdf spe R2(xn0) wherei ae real constants