D-homothetic deformation on para-Sasaki-like Riemannian manifolds.

The objective of this paper is to apply the notion of D - ho-mothetic deformation to almost paracontact almost paracomplex Riemannian manifolds. In case the manifold is para-Sasaki-like, the relation between their Levi-Civita connections is given. It is shown that the D - homothetic deformation of para-Einstein-like manifold and para-Ricci-like soliton is also a para-Einstein-like manifold and para-Ricci-like soliton, respectively. Moreover, if para-Sasaki-like manifold M admits a gradient almost Ricci-like soliton, it is investigated whether the D - homothetic deformation of M admits a gradient Ricci-like soliton. Finally, it is given an example. [ABSTRACT FROM AUTHOR]