Some special vector fields on a cosymplectic manifold admitting a Ricci soliton

Miskolc Mathematical Notes

article

Halil Ibrahim Yoldas¹  Semsi Eken Meric¹  Erol Yasar¹ 

[1] Mersin University, Faculty of Science and Arts, Department of Mathematics

关键词: Einstein manifold;    cosymplectic manifold;    Ricci soliton;    torse-forming vector field;    torqued vector field;   

DOI  :  10.18514/MMN.2021.3221

学科分类：数学（综合）

来源: Miskolci Egyetem

【 摘 要 】

In this paper, we deal with the geometric properties of cosymplectic manifold. We give some classifications for a cosymplectic manifold endowed with some special vector fields, such as contact, concircular, recurrent, torse-forming and some characterizations for such a manifold admitting a Ricci soliton given as to be Einstein, $\eta-$Einstein, almost quasi-Einstein and nearly quasi-Einstein.

【 授权许可】

CC BY