On Pseudo-Petrov Symmetric Riemannian Manifolds

Abstract EN

The present paper deals with pseudo-Petrov symmetric Riemannian manifolds whose space-matter tensor satisfies a special condition.

Firstly, basic results of pseudo-Petrov symmetric Riemannian manifolds are obtained.

Then, pseudo-Petrov symmetric manifolds which are Einstein, quasi-Einstein, and locally decomposable are examined and some theorems involving these manifolds are proved.

Finally, two examples proving the existence of pseudo-Petrov symmetric Riemannian manifolds are given.