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Lower dimensional cases of Einstein's connection were already investigated by many authors for n=2,3,4,5. This paper is the first part of the following series of two papers, in which we obtain a surveyable tensorial representation of 6-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 6-dimensional Einstein's unified field theory (i.e., 6-g-UFT)

international journal of mathematics and mathematical sciences

Six-dimensional considerations of Einstein's connection for the first two classes. I. The recurrence relations in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$6$" id="E1"><mml:mn>6</mml:mn></mml:math>-<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="$g$" id="E2"><mml:mi>g</mml:mi></mml:math>-UFT

Six-dimensional considerations of Einstein's connection for the first two classes. I. The recurrence relations in6-g-UFT