On symmetries of the pseudo-Riemannian manifold \mathbb{H}^{۲}\times\mathbb{R}

The purpose of this article is to study the symmetries of the pseudo-Riemannian manifold \mathbb{H}^{۲}\times\mathbb{R}. Specially, we study the existence of Ricci and matter collineations in this space.

Keywords:

Pseudo-Riemannian metric , Killing and affine vector field , Ricci and matter collineation