HOMOTHETIC MOTIONS VIA GENERALIZED BICOMPLEX NUMBERS

Abstract

In this paper, by using the matrix representation of generalized bicomplex numbers, we have defined the homothetic motions on some hypersurfaces in four dimensional generalized linear space R-alpha beta(4). Also, for some special cases we have given some examples of homothetic motions in R-4 and R-2(4) and obtained some rotational matrices, too. Therefore, we have investigated some applications about kinematics of generalized bicomplex numbers.