Para-Ricci-like Solitons with Arbitrary Potential on Para-Sasaki-like Riemannian Π-Manifolds
Copyright policy )Para-Ricci-like Solitons with Arbitrary Potential on Para-Sasaki-like Riemannian Π-Manifolds
Para-Ricci-like solitons with arbitrary potential on para-Sasaki-like Riemannian Π-manifolds are introduced and studied. For the studied soliton, it is proved that its Ricci tensor is a constant multiple of the vertical component of both metrics. Thus, the corresponding scalar curvatures of both considered metrics are equal and constant. An explicit example of the Lie group as the manifold under study is presented.
- Medical University Plovdiv Bulgaria
- Plovdiv University Bulgaria
Einstein-like manifold, Mathematics - Differential Geometry, Riemannian Π-manifolds, para-Ricci-like soliton; para-Sasaki-like; Riemannian Π-manifolds; arbitrary potential; Einstein manifold; Einstein-like manifold; <i>η</i>-Einstein manifold, para-Sasaki-like, para-Ricci-like soliton, Differential Geometry (math.DG), Einstein manifold, QA1-939, FOS: Mathematics, arbitrary potential, Mathematics, 53C25, 53D15, 53C50, 53C44, 53D35, 70G45
Einstein-like manifold, Mathematics - Differential Geometry, Riemannian Π-manifolds, para-Ricci-like soliton; para-Sasaki-like; Riemannian Π-manifolds; arbitrary potential; Einstein manifold; Einstein-like manifold; <i>η</i>-Einstein manifold, para-Sasaki-like, para-Ricci-like soliton, Differential Geometry (math.DG), Einstein manifold, QA1-939, FOS: Mathematics, arbitrary potential, Mathematics, 53C25, 53D15, 53C50, 53C44, 53D35, 70G45
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