MMN-3221

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

• Halil Ibrahim Yoldas, Mersin University, Faculty of Science and Arts, Department of Mathematics, 33343 Mersin, Turkey, hibrahimyoldas@gmail.com
• Semsi Eken Meric, Mersin University, Faculty of Science and Arts, Department of Mathematics, 33343 Mersin, Turkey, semsieken@hotmail.com
• Erol Yasar, Mersin University, Faculty of Science and Arts, Department of Mathematics, 33343 Mersin, Turkey, eroly69@gmail.com

Abstract

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.

Vol. 22 (2021), No. 2, pp. 1039-1050
DOI: 10.18514/MMN.2021.3221