Six-dimensional considerations of Einsteins connection for the first two classes. II. The Einsteins connection in 6-g-UFTReportar como inadecuado




Six-dimensional considerations of Einsteins connection for the first two classes. II. The Einsteins connection in 6-g-UFT - Descarga este documento en PDF. Documentación en PDF para descargar gratis. Disponible también para leer online.

International Journal of Mathematics and Mathematical Sciences - Volume 22 1999, Issue 3, Pages 483-488



Department of Mathematics, Yonsei University, Seoul, 120-749, Korea

Department of Mathematics, Konyang University, Nonsan 320-030, Korea

Department of Mathematics, University of Inchon, Inchon 402-749, Korea

Received 31 July 1998

Copyright © 1999 Hindawi Publishing Corporation. 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.

Abstract

Lower dimensional cases of Einstein-s connection were alreadyinvestigated by many authors for n=2,3,4,5. In the following series of two papers, we present a surveyable tensorialrepresentation of 6-dimensional Einstein-s connection in terms of the unified field tensor:

I. The recurrence relations in 6-g-UFT.

II. The Einstein-s connection in 6-g-UFT.

In our previous paper 2, we investigated some algebraicstructure in Einstein-s 6-dimensional unified field theory i.e., 6-g-UFT, with emphasis on the derivation of the recurrence relations of the third kind which hold in 6-g-UFT. This paper is a direct continuation of 2. The purpose of the present paper is to prove a necessary and sufficient condition for a unique Einstein-s connection to exist in 6-g-UFT and to display a surveyable tensorial representation of 6-dimensional Einstein-s connection in terms of the unified field tensor, employing the powerful recurrence relations of the third kind obtained in the first paper 2.

All considerations in this paper are restricted to the first andsecond classes of the 6-dimensional generalized Riemannian manifoldX6, since the case of the third class, the simplest case, was already studied by many authors.





Autor: Kyung Tae Chung, Gye Tak Yang, and In Ho Hwang

Fuente: https://www.hindawi.com/



DESCARGAR PDF




Documentos relacionados