Submitted:
25 June 2021
Posted:
25 June 2021
You are already at the latest version
Abstract
It is introduced and studied para-Ricci-like solitons with potential Reeb vector field on almost paracontact almost paracomplex Riemannian manifolds. The special cases of para-Einstein-like, para-Sasaki-like and having a torse-forming Reeb vector field have been considered. It is proved a necessary and sufficient condition the manifold to admit a para-Ricci-like soliton which is the structure to be para-Einstein-like. Explicit examples are provided in support of the proven statements.
Keywords:
para-Ricci-like soliton
; $\eta$-Ricci soliton
; para-Einstein-like manifold
; $\eta$-Einstein manifold
; almost paracontact almost paracomplex Riemannian manifold
; torse-forming vector field
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
