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<p>We characterize the Sasaki–Kenmotsu manifold by using different kinds of solitons. Thus, we introduce a new type of solitons on the Sasaki–Kenmotsu manifold using a bicontact structure. First, we observe the properties of the Ricci soliton on (<i>η</i><i>, </i><i>ω</i>)-Sasaki–Kenmotsu manifold by using bicontact structure. Then we extended the <i>η</i>-Ricci soliton as an (<i>η</i><i>, </i><i>ω</i>) -Ricci soliton and a conformal <i>η</i>-Ricci soliton as a conformal (<i>η</i><i>, </i><i>ω</i>) -Ricci soliton by using the bicontact structure.</p>

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Geometry of Ricci and (η, ω)-Ricci Solitons on the Sasaki–Kenmotsu Manifold

  • 期刊论文

  • 发表日期：

    2025年6月1日

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  • M. Sangeetha,
  • H. G. Nagaraja

摘要

We characterize the Sasaki–Kenmotsu manifold by using different kinds of solitons. Thus, we introduce a new type of solitons on the Sasaki–Kenmotsu manifold using a bicontact structure. First, we observe the properties of the Ricci soliton on (η, ω)-Sasaki–Kenmotsu manifold by using bicontact structure. Then we extended the η-Ricci soliton as an (η, ω) -Ricci soliton and a conformal η-Ricci soliton as a conformal (η, ω) -Ricci soliton by using the bicontact structure.