Amruthalakshmi, M.R.; Prakasha, D.G.; Bin Turki, Nasser; Unal, Inan

In this paper, we study α-cosymplectic manifold M admitting ∗-Ricci tensor. First, it is shown that a ∗-Ricci semisymmetric manifold M is ∗-Ricci flat and a φ-conformally flat manifold M is an η-Einstein manifold. Furthermore, the ∗-Weyl curvature tensor W∗ on M has been considered. Particularly, we show that a manifold M with vanishing ∗-Weyl curvature tensor is a weak φ-Einstein and a manifold M fulfilling the condition RE1,E2⋅W∗=0 is η-Einstein manifold. Finally, we give a characterization for α-cosymplectic manifold M admitting ∗-Ricci soliton given as to be nearly quasi-Einstein. Also, some consequences for three-dimensional cosymplectic manifolds admitting ∗-Ricci soliton and almost ∗-Ricci soliton are drawn.

AtıfScopus5·OpenAlex5

İncele

Vanli, Aysel Turgut; Unal, Inan

In this paper, we obtain the necessary and sufficient conditions a complex almost contact metric manifold to be normal. In addition, we give some new identities for the Riemann curvature and the Ricci curvatures of normal complex contact metric manifolds. Furthermore, we show that a Ricci semi-symmetric normal complex contact metric manifold is Einstein.

AtıfScopus5

İncele

Turgut Vanli, Aysel; Unal, Inan

IK-normal complex contact metric manifolds have some important properties. There are several applications of this kind of contact manifolds in theoretical physics. In this paper, we studied on H-curvature tensors for IK-normal complex contact metric manifolds. We have shown that there is no IK-normal complex contact metric manifold with constant sectional curvature and an IK-normal complex contact metric manifold is not Ricci semi-symmetric.

AtıfScopus4·WoS2·OpenAlex3

İncele

Vanli, Aysel Turgut; Unal, Inan

The aim of this paper is focusing on eta-Einstein geometry of normal complex contact metric manifolds. We give the definition of complex eta-Einstein normal complex contact metric manifolds. In addition, we study on concircular curvature tensor Z on a normal complex contact metric manifold which satisfy Z (U, X).Z = 0 and Z(V, X).Z = 0. Also, we prove that a projectively semi-symmetric normal complex contact metric manifold is complex eta-Einstein.

AtıfWoS3

İncele

Vanli, Aysel Turgut; Unal, Inan

Conformal, concircular, quasi-conformal and conharmonic curvature tensors play an important role in Riemannian geometry. In this paper, we study on normal complex contact metric manifolds under flatness conditions of these tensors.

AtıfScopus12·WoS13·OpenAlex19

İncele