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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2019 / Volume: 68 Issue: 2

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

Adara M. Blaga0000-0003-0237-3866
Selcen Yüksel Perktaş0000-0002-8848-0621
Sayfa
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Yayın Tarihi
2019-08-01
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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.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We consider almost η-Ricci solitons in (ε)-para Sasakian manifolds satisfying certain curvature conditions.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı: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.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Almost η-Ricci solitons · (ε)-para Sasakian structure

Abstract

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.

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Bu Makaleye Atıf Yap

Blaga, A. M., Perktaş, S. Y. (2019). Remarks on almost η-Ricci solitons in (ε)-para Sasakian manifolds. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 68 Issue: 2. https://doi.org/10.31801/cfsuasmas.546595

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Kaynakça (10)

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  10. Tripathi, M. M., Kılıç, E., Perktaş, S. Y., Keleş, S., Indefinite almost paracontact metric manifolds, Int. J. Math. Math. Sci., (2010), 846195, pp. 19.