# EIGHT-DIMENSIONAL EINSTEIN'S CONNECTION FOR THE SECOND CLASS I. THE RECURRENCE RELATIONS IN 8-g-UFT

• CHUNG, KYUNG TAE (Department of Mathematics Yonsei University) ;
• HAN, SOO KYUNG (Department of Mathematics KangNung University) ;
• HWANG, IN HO (Departement of Mathematics University of Incheon)
• Accepted : 2004.11.01
• Published : 2004.12.25

#### Abstract

Lower dimensional cases of Einstein's connection were already investigated by many authors for n = 2, 3, 4, 5, 6, 7. This paper is the first part of the following series of two papers, in which we obtain a surveyable tensorial representation of 8-dimensional Einstein's connection in terms of the unified field tensor, with main emphasis on the derivation of powerful and useful recurrence relations which hold in 8-dimensional Einstein's unified field theory(i.e., 8-g-UFT): I. The recurrence relations in 8-g-UFT II. The Einstein's connection in 8-g-UFT All considerations in these papers are restricted to the second class only, since the case of the first class are done in [1], [2] and the case of the third class, the simplest case, was already studied by many authors.

#### Acknowledgement

Supported by : University of Incheon

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