International Journal of Mathematics and Mathematical Sciences
Volume 17 (1994), Issue 1, Pages 79-90
On the ME-manifold in --UFT and its conformal change
1Department of Mathematics, Yonsei University, Seoul, Korea
2Department of Math. Education, Chungbuk National University, Cheongju, Korea
Received 20 April 1992; Revised 19 September 1993
Copyright © 1994 Kyung Tae Chung and Gwang Sik Eun. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
An Einstein's connection which takes the form (3.1) is called an ME-connection. A generalized -dimensional Riemannian manifold on which the differential geometric structure is imposed by a tensor field through a unique ME-connection subject to the conditions of Agreement (4.1) is called -ME-manifold and we denote it by -. The purpose of the present paper is to introduce this new concept of - and investigate its properties. In this paper, we first prove a necessary and sufficient condition for the unique existence of ME-connection in , and derive a surveyable tensorial representation of the ME-connection. In the second, we investigate the conformal change of - and present a useful tensorial representation of the conformal change of the ME-connection.