ON THE GEOMETRY OF THE MANIFOLD MEX2n

Title & Authors
ON THE GEOMETRY OF THE MANIFOLD MEX2n
Yoo, Ki-Jo;

Abstract
A generalized even-dimensional Riemannian manifold defined by the ME-connection which is both Einstein and of the form (3.3) is called an even-dimensional ME-manifold and we denote it by $\small{MEX_{2n}}$. The purpose of this paper is to study a necessary and sufficient condition that there is an ME-connection, to derive the useful properties of some tensors, and to investigate a representation of the ME-vector in $\small{MEX_{2n}}$.
Keywords
ME-vector;ME-connection;ME-manifold;Einstein`s equation;
Language
English
Cited by
References
1.
Acta. Math. Hungar, vol.45. 1-2, pp.141-149

2.
Nuovo Cimento, vol.100B. 4, pp.537-550

3.
The meaning of relativity,

4.
Geometry of Einstein's unified field theory,

5.
Tensor, vol.24. pp.293-296

6.
Tensor, vol.9. pp.8-43

7.
Tensor, vol.8. pp.95-122

8.
Tensor, vol.29. pp.134-138