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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2021 / Volume: 70 Issue: 2

Cotton tensor on Sasakian 3-manifolds admitting eta-Ricci solitons

Debabrata Kar(University of Calcutta)0000-0002-9366-7095
Pradip Majhi(University of Calcutta)0000-0002-4364-1815
Sayfa
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Yayın Tarihi
2021-12-31
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Finally, we give an important remark.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The object of the present paper is to characterize Cotton tensor on a 3-dimensional Sasakian manifold admitting $\eta$-Ricci solitons.
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Temel Bulgular & Veri:After introduction, we study 3-dimensional Sasakian manifolds and introduce a new notion, namely, Cotton pseudo-symmetric manifolds.
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Sonuç & Katkı:Finally, we give an important remark.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Einstein manifold · Ricci soliton · $\eta$-Ricci soliton

Abstract

The object of the present paper is to characterize Cotton tensor on a 3-dimensional Sasakian manifold admitting $\eta$-Ricci solitons. After introduction, we study 3-dimensional Sasakian manifolds and introduce a new notion, namely, Cotton pseudo-symmetric manifolds. Next we deal with the study Cotton tensor on a Sasakian 3-manifold admitting $\eta$-Ricci solitons. Among others we prove that such a manifold is a manifold of constant scalar curvature and Einstein manifold with some appropriate conditions. Also, we classify the nature of the soliton metric. Finally, we give an important remark.

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Bu Makaleye Atıf Yap

Kar, D., Majhi, P. (2021). Cotton tensor on Sasakian 3-manifolds admitting eta-Ricci solitons. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 70 Issue: 2. https://doi.org/10.31801/cfsuasmas.769405

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