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<p>The main objective of the present article is to study almost Bach solitons on coKähler manifolds with certain types of potential vector fields. It is shown that the almost Bach solitons reduce to the Bach solitons when the potential vector field is the torse-forming vector field. In this regard, we also prove that the solitons are steady. In the three-dimensional case, considering the potential vector field as concircular, the vector field becomes parallel. Almost gradient Bach solitons are also considered in the present article. Finally, we provide some examples of three-dimensional coKähler manifolds.</p>

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Almost Bach Solitons on coKähler Manifolds

  • 期刊论文

  • 发表日期：

    2025年1月7日

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  • Tarak Mandal,
  • Uday Chand De,
  • Avijit Sarkar

摘要

The main objective of the present article is to study almost Bach solitons on coKähler manifolds with certain types of potential vector fields. It is shown that the almost Bach solitons reduce to the Bach solitons when the potential vector field is the torse-forming vector field. In this regard, we also prove that the solitons are steady. In the three-dimensional case, considering the potential vector field as concircular, the vector field becomes parallel. Almost gradient Bach solitons are also considered in the present article. Finally, we provide some examples of three-dimensional coKähler manifolds.