Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds

We consider almost η-Ricci solitons in (ε)-para Sasakian manifolds satisfying certain curvature conditions. In the gradient case we give an estimation for the norm of the Ricci curvature tensor and express the scalar curvature of the manifold in terms of the two functions that define the soliton. We...

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Veröffentlicht in:	Communications Series A1 Mathematics & Statistics 2019-03, Vol.68 (2), p.1621-1628
Hauptverfasser:	Blaga, Adara M., Perktaş, Selcen Yüksel
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Sprache:	eng
Schlagworte:	Matematik
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description	We consider almost η-Ricci solitons in (ε)-para Sasakian manifolds satisfying certain curvature conditions. In the gradient case we give an estimation for the norm of the Ricci curvature tensor and express the scalar curvature of the manifold in terms of the two functions that define the soliton. We also prove that if the Ricci operator is of Codazzi type, then the gradient η-Ricci soliton is expanding if M is spacelike or shrinking if M is timelike.
doi_str_mv	10.31801/cfsuasmas.546595
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title	Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds
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