Korean J. Math. Vol. 24 No. 3 (2016) pp.319-330
DOI: https://doi.org/10.11568/kjm.2016.24.3.319

A study on the recurrence relations of $5$-dimensional $ES$-manifold

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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 $5$-dimensional ${}^*{g}-ESX_5$. Particularly, in $5$-dimensional ${}^*{g}-ESX_5$, we derive a new set of powerful recurrence relations in the first class.

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Supporting Agencies

This research was supported by Incheon National University Research Grant 2014-2015.


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