• Kyungpook Mathematical Journal
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• v.60 no.1
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• pp.177-183
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• 2020

The object of the present paper is to study the critical point equation (CPE) on 3-dimensional α-cosymplectic manifolds. We prove that if a 3-dimensional connected α-cosymplectic manifold satisfies the Miao-Tam critical point equation, then the manifold is of constant sectional curvature -α², provided Dλ ≠ (ξλ)ξ. We also give several interesting corollaries of the main result.

• Honam Mathematical Journal
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• v.41 no.2
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• pp.269-284
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• 2019

The object of the paper is to investigate almost alpha-cosymplectic (${\kappa},{\mu},{\nu}$) spaces. Some results on almost alpha-cosymplectic (${\kappa},{\mu},{\nu}$) spaces with certain conditions are obtained. Finally, we give an example on 3-dimensional case.