ON THE ME - MANIFOLD IN n - * g - UFT AND ITS CONFORMAL CHANGE

An Einstein’s connection which takes the form (3.1) is called an ME-connection. A generalized n-dimensional Riemannian manifold X, on which the differential geometric structure is imposed by a tensor field *gx through a unique ME-connection subject to the conditions of Agreement (4.1) is called "g-ME-manifold and we denote it by "g-MEX.. The purpose of the present paper is to introduce this new concept of *g-MEX. and investigate its properties. In this paper, we first prove a necessary and sufficient condition for the unique existence of ME-connection in X,, and derive a surveyable tensorial representation of the ME-connection. In the second, we investigate the conformal change of "g-MEX,, and present a useful tensorial representation of the conformal change of the ME-connection.