In this paper we shovv that tbe hypersurfaces S (a) in Minkov'ski (n^l) - space M”+’ given by: ^1^ . . . + a ...2n- >’ a carry induced Riemannian metrics which is positive nefnûte in case a > 0 and negative definite in case a 0. Also the curvature of S (a) is constant and ecfual to —n (n-l) / a for a > 0 and n (n-1) / IX for a 0.