ON THE ALGEBRA OF 3-DIMENSIONAL ES-MANIFOLD

The manifold *g-ESXn is a generalized n-dimensional Riemannian manifold on which the differential geometric structure is imposed by the unified field tensor *g(gimel v) 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-ESX3. Particularly, in 3-dimensional *g-ESX3, we derive a new set of powerful recurrence relations in the first class.