Yazarlar

• Ünal, Inan(2)

• MakaleYalnız künye2021/r/munzur/4906
  On Metric Contact Pairs with Certain Semi-Symmetry Conditions

  Ünal, Inan

  Blair et al. [7] introduced the notion of bicontact manifold in the context of Hermitian geometry. Bande and Hadjar [1] studied on this notion under the name of contact pairs. These type of structures have important properties and their geometry is some different from classical contact structures. In this paper, we study on some semi-symmetry properties of the normal contact pair manifolds. We prove that a Ricci semi-symmetric (or concircularly Ricci semi-symmetric) normal metric contact pair manifold is a generalized quasi-Einstein manifold. Also, we classify normal metric contact pair manifolds as a generalized quasi-Einstein manifold with certain semi-symmetry conditions L (X, Z).R = 0, R(X, Z).L = 0 and L (X, Z).L = 0 for the concircular curvature tensor L, the Riemannian curvature tensor R, and an arbitrary vector field X.

  İncele
• MakaleAçık Erişim2020/r/munzur/4912
  SOME FLATNESS CONDITIONS ON NORMAL METRIC CONTACT PAIRS

  Ünal, Inan

  In this paper, the geometry of normal metric contact pair manifolds is studied under the circle divide atness of conformal, concircular and quasi-conformal curvature tensors. It is proved that a conformal flat normal metric contact pair manifold is an Einstein manifold with a positive scalar curvature and has positive sectional curvature. It is also shown that a concircular flat normal metric contact pair manifold is an Einstein manifold. Finally, it is obtained that a quasi-conformally flat normal metric contact pair manifold is an Einstein manifold with a positive scalar curvature and, is a space of constant curvature.

  AtıfOpenAlex4·TR Dizin3

  İncele