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⋆-CONFORMAL RICCI SOLITONS ON ALMOST COK¨AHLER MANIFOLDS

Tarak Mandal|Avijit Sarkar
대한수학회 (The Korean Mathematical Society)|2023.07|대한수학회논문집 (Communications of the KMS)|제38권 제3호|pp. 865-880|DOI 10.4134/CKMS.c220145

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참고문헌

키워드

Almost coK¨ahler manifolds(κμ)-nullity distributioninfinitesimal contact transformation⋆-Ricci tensorsRicci solitonsconformal Ricci solitons
주제분류수학

초록

The main intention of the current paper is to characterize certain properties of ⋆-conformal Ricci solitons on non-coK¨ahler (κ, μ)- almost coK¨ahler manifolds. At first, we find that there does not exist ⋆-conformal Ricci soliton if the potential vector field is the Reeb vector field θ. We also prove that the non-coK¨ahler (κ, μ)-almost coK¨ahler manifolds admit ⋆-conformal Ricci solitons if the potential vector field is the infinitesimal contact transformation. It is also studied that there does not exist ⋆-conformal gradient Ricci solitons on the said manifolds. An example has been constructed to verify the obtained results.

Abstract

The main intention of the current paper is to characterize certain properties of ⋆-conformal Ricci solitons on non-coK¨ahler (κ, μ)- almost coK¨ahler manifolds. At first, we find that there does not exist ⋆-conformal Ricci soliton if the potential vector field is the Reeb vector field θ. We also prove that the non-coK¨ahler (κ, μ)-almost coK¨ahler manifolds admit ⋆-conformal Ricci solitons if the potential vector field is the infinitesimal contact transformation. It is also studied that there does not exist ⋆-conformal gradient Ricci solitons on the said manifolds. An example has been constructed to verify the obtained results.

참고문헌 (32)

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