Korean J. Math.  Vol 22, No 1 (2014)  pp.207-216
DOI: https://doi.org/10.11568/kjm.2014.22.1.207

On the algebra of 3-dimensional ES-manifold

In Ho Hwang


The manifold $ {}^*{g} - ESX_n  $ is a generalized $ n $-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor $ {}^*{g}^{ \lambda \nu } $ through the $ ES $-connection which is both Einstein and semi-symmetric. The purpose of the present paper is to study the algebraic geometric structures of $3$-dimensional ${}^*{g}-ESX_3$. Particularly, in $3$-dimensional ${}^*{g}-ESX_3$, we derive a new set of powerful recurrence relations in the first class.

Subject classification

83E50, 83C05, 58A05.


This research was supported by Incheon National University Research Grant, 2012-2013.

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