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The object of the present paper is to study conformal \(\eta \) -Einstein soliton in the framework of \((LCS)_{n}\) -manifold. First we establish the existence of conformal \(\eta \) -Einstein soliton on \((LCS)_{n}\) -manifold. Then we obtain some results on \((LCS)_{n}\) -manifold admitting conformal \(\eta \) -Einstein soliton where the Ricci tensor is cyclic parallel and Codazzi type. We have also considered the soliton where the manifold is Ricci symmetric.

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Conformal \(\eta \) -Einstein Soliton on  \((LCS)_{n}\) -Manifold

  • 会议论文

  • 发表日期：

    2025年

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  • Srabani Debnath

摘要

The object of the present paper is to study conformal \(\eta \) -Einstein soliton in the framework of \((LCS)_{n}\) -manifold. First we establish the existence of conformal \(\eta \) -Einstein soliton on \((LCS)_{n}\) -manifold. Then we obtain some results on \((LCS)_{n}\) -manifold admitting conformal \(\eta \) -Einstein soliton where the Ricci tensor is cyclic parallel and Codazzi type. We have also considered the soliton where the manifold is Ricci symmetric.