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- Title
Eta-Ricci solitons on para-Kenmotsu manifolds.
- Authors
Blaga, A. M.
- Abstract
In the context of paracontact geometry, η-Ricci solitons are considered on manifolds satisfying certain curvature conditions: R(ξ, X) ⋅ S = 0, S ⋅ R(ξ, X) = 0, W2( ξ, X) ⋅ S = 0 and S ⋅ W2( ξ, X) = 0. We prove that on a para-Kenmotsu manifold (M, φ, ξ, η, g), the existence of an η-Ricci soliton implies that (M, g) is quasi-Einstein and if the Ricci curvature satisfies R(ξ, X) ⋅ S = 0, then (M, g) is Einstein. Conversely, we give a sufficient condition for the existence of an η-Ricci soliton on a para-Kenmotsu manifold.
- Subjects
MANIFOLDS (Mathematics); RICCI flow; SOLITONS; EXISTENCE theorems; CURVATURE; LATTICE theory
- Publication
Balkan Journal of Geometry & Its Applications, 2015, Vol 20, Issue 1, p1
- ISSN
1224-2780
- Publication type
Article