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On the ME-manifold in n - * g -UFT and its conformal change

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  • Kyung Tae Chung
  • Gwang Sik Eun

Abstract

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

Suggested Citation

  • Kyung Tae Chung & Gwang Sik Eun, 1994. "On the ME-manifold in n - * g -UFT and its conformal change," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 17, pages 1-12, January.
    • Handle: RePEc:hin:jijmms:719603
    DOI: 10.1155/S0161171294000128
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