Para-Ricci-Like Solitons on Riemannian Manifolds with Almost Paracontact Structure and Almost Paracomplex Structure
Copyright policy )Para-Ricci-Like Solitons on Riemannian Manifolds with Almost Paracontact Structure and Almost Paracomplex Structure
We introduce and study a new type of soliton with a potential Reeb vector field on Riemannian manifolds with an almost paracontact structure corresponding to an almost paracomplex structure. The special cases of para-Einstein-like, para-Sasaki-like and having a torse-forming Reeb vector field were considered. It was proved a necessary and sufficient condition for the manifold to admit a para-Ricci-like soliton, which is the structure that is para-Einstein-like. Explicit examples are provided in support of the proven statements.
- Plovdiv University Bulgaria
- Medical University Plovdiv Bulgaria
para-Ricci-like soliton, para-Einstein-like manifold, Riemannian manifold, η-Einstein manifold, QA1-939, torse-forming vector field, almost paracontact structure, almost paracomplex structure, Mathematics, η-Ricci soliton
para-Ricci-like soliton, para-Einstein-like manifold, Riemannian manifold, η-Einstein manifold, QA1-939, torse-forming vector field, almost paracontact structure, almost paracomplex structure, Mathematics, η-Ricci soliton
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