Seven-dimensional considerations of Einstein's connection. I: The recurrence relations of the first kind in \(n\)-\(g\)-UFT
type: Item
instance of: scholarly article
title: Seven-dimensional considerations of Einstein's connection. I: The recurrence relations of the first kind in \(n\)-\(g\)-UFT
zbMATH Open document ID: 1015.83010
DOI: 10.1155/S0161171203012766
author: Mi Ae Kim
author: Keum Sook So
author: Chung-Hyun Cho
author: Kyung Tae Chung
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-03-17T00:00:00Z
full work available at URL: https://eudml.org/doc/50139
review text: Summary: Einstein's connection in a generalized Riemannian manifold \(X_n\) has been investigated by many authors for lower-dimensional cases \(n=2,\dots ,6\). In a series of papers, we obtain a surveyable tensorial representation of \(7\)-dimensional Einstein's connection in terms of unified field tensor, with main emphasis on the derivation of powerful and useful recurrence relations which hold in \(X_7\). In this paper, we give a brief survey of Einstein's unified field theory and derive the recurrence relations of the first kind which hold in a general \(X_n\). All considerations in this paper are restricted to the first and second classes only since the case of the third class, the simplest case, was already studied by many authors.
Mathematics Subject Classification ID: 83C05
Mathematics Subject Classification ID: 58A05
Mathematics Subject Classification ID: 83E50
zbMATH DE Number: 1883703
MaRDI profile type: Publication
OpenAlex ID: W2119931149
description: scientific article; zbMATH DE number 1883703