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 Xn on which the differential geometric structure is imposed by a tensor field *gλν through a unique ME-connection subject to the conditions of Agreement (4.1) is calle...
| Published in: | International Journal of Mathematics and Mathematical Sciences |
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| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Wiley
1994-01-01
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| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171294000128 |
| Summary: | An Einstein's connection which takes the form (3.1) is called an ME-connection. A generalized n-dimensional Riemannian manifold Xn on which the differential geometric structure is imposed by a tensor field *gλν through a unique ME-connection subject to the conditions of Agreement (4.1) is called *g-ME-manifold and we denote it by *g-MEXn. The purpose of the present paper is to introduce this new concept of *g-MEXn and investigate its properties. In this paper, we first prove a necessary and sufficient condition for the unique existence of ME-connection in Xn, and derive a surveyable tensorial representation of the ME-connection. In the second, we investigate the conformal change of *g-MEXn and present a useful tensorial representation of the conformal change of the ME-connection. |
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| ISSN: | 0161-1712 1687-0425 |