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Dergiler / Turkish Journal of Mathematics and Computer Science / 2023 / Volume: 15 Issue: 2

Some Curvature Conditions on 3-Dimensional Quasi-Sasakian Manifolds Admitting Conformal Ricci Soliton

Müslüm Aykut Akgün(ADIYAMAN ÜNİVERSİTESİ)0000-0002-8414-5228
Bilal Eftal Acet(ADIYAMAN ÜNİVERSİTESİ)0000-0002-0190-3741
Sayfa
—
Yayın Tarihi
2023-12-31
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Also we study conformal Ricci soliton on a 3-dimensional quasi-Sasakian manifold satisfying the conditions $W_{0}^{*}(\xi,X).S=0$ and $R(\xi,X).W_{0}^{*}=0$.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we examine 3-dimensional quasi-Sasakian manifold admitting conformal Ricci soliton.
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Temel Bulgular & Veri:We give some theorems for $W_{0}^{*}$ flat, $\xi-W_{0}^{*}$ flat and $\phi-W_{0}^{*}$ semisymmetric 3-dimensional quasi-Sasakian manifold admitting conformal Ricci soliton.
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Sonuç & Katkı:Also we study conformal Ricci soliton on a 3-dimensional quasi-Sasakian manifold satisfying the conditions $W_{0}^{*}(\xi,X).S=0$ and $R(\xi,X).W_{0}^{*}=0$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Ricci soliton · conformal Ricci soliton · quasi-Sasakian manifold.

Abstract

In this paper, we examine 3-dimensional quasi-Sasakian manifold admitting conformal Ricci soliton. We give some theorems for $W_{0}^{*}$ flat, $\xi-W_{0}^{*}$ flat and $\phi-W_{0}^{*}$ semisymmetric 3-dimensional quasi-Sasakian manifold admitting conformal Ricci soliton. Also we study conformal Ricci soliton on a 3-dimensional quasi-Sasakian manifold satisfying the conditions $W_{0}^{*}(\xi,X).S=0$ and $R(\xi,X).W_{0}^{*}=0$.

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Bu Makaleye Atıf Yap

Akgün, M. A., Acet, B. E. (2023). Some Curvature Conditions on 3-Dimensional Quasi-Sasakian Manifolds Admitting Conformal Ricci Soliton. Turkish Journal of Mathematics and Computer Science, Volume: 15 Issue: 2. https://doi.org/10.47000/tjmcs.1082849

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