☆-CONFORMAL RICCI SOLITONS ON ALMOST COKAHLER MANIFOLDS

被引：1

作者：

Mandal, Tarak ^{[1
]}

Sarkar, Avijit ^{[1
]}

机构：

[1] Univ Kalyani, Dept Math, Kalyani 741235, W Bengal, India

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2023年 / 38卷 / 03期

关键词：

Almost coKahler manifolds; (kappa; mu)-nullity distribution; infinitesimal contact transformation; star-Ricci tensors; Ricci solitons; conformal Ricci solitons; CONTACT;

D O I：

10.4134/CKMS.c220145

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

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

引用

页码：865 / 880

页数：16

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