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<p>In this article, we characterize 2-Killing vector fields on Riemannian manifold and discourse its several impact on solitons and almost contact structures. First, we establish a necessary and sufficient condition for a 2-Killing vector field on a Riemannian manifold to be Killing. Then, we characterize Ricci soliton and Ricci almost soliton when its potential vector field are 2-Killing to be Killing. Next, we elucidate contact and quasi-contact manifold when the Reeb vector field is 2-Killing. Finally, we construct a new example of a 2-Killing vector field which is not Killing within the background of a warped product of a real line and Kähler manifold.</p>

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2-Killing Vector Field and Its Applications on Ricci Almost Solitons and Contact Structures

  • 期刊论文

  • 发表日期：

    2026年2月12日

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  • Amalendu Ghosh

摘要

In this article, we characterize 2-Killing vector fields on Riemannian manifold and discourse its several impact on solitons and almost contact structures. First, we establish a necessary and sufficient condition for a 2-Killing vector field on a Riemannian manifold to be Killing. Then, we characterize Ricci soliton and Ricci almost soliton when its potential vector field are 2-Killing to be Killing. Next, we elucidate contact and quasi-contact manifold when the Reeb vector field is 2-Killing. Finally, we construct a new example of a 2-Killing vector field which is not Killing within the background of a warped product of a real line and Kähler manifold.