Vanli, Aysel Turgut; Ünal, Inan

In this paper, we study on semi-invariant submanifolds of normal complex contact metric manifolds. We give the definition of such submanifolds and we obtain useful relations. Moreover, we give the integrability conditions of distributions.

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

Vanli, Aysel Turgut; Ünal, Inan; Özdemir, Dilek

In this paper, we study on normal complex contact metric manifold admitting a semi symmetric metric connection. We obtain curvature properties of a normal complex contact metric manifold admitting a semi symmetric metric connection. We also prove that this type of manifold is not conformal flat, concircular flat, and conharmonic flat. Finally, we examine complex Heisenberg group with the semi symmetric metric connection.

AtıfScopus24·WoS25·OpenAlex26

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