Yazarlar

• Ünal, Inan(2)

• 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
• MakaleAçık Erişim2020Scopus SJRQ2/r/munzur/3703
  Generalized quasi-einstein manifolds in contact geometry

  Ünal, Inan

  In this study, we investigate generalized quasi-Einstein normal metric contact pair manifolds. Initially, we deal with the elementary properties and existence of generalized quasi-Einstein normal metric contact pair manifolds. Later, we explore the generalized quasi-constant curvature of normal metric contact pair manifolds. It is proved that a normal metric contact pair manifold with generalized quasi-constant curvature is a generalized quasi-Einstein manifold. Normal metric contact pair manifolds satisfying cyclic parallel Ricci tensor and the Codazzi type of Ricci tensor are considered, and further prove that a generalized quasi-Einstein normal metric contact pair manifold does not satisfy Codazzi type of Ricci tensor. Finally, we characterize normal metric contact pair manifolds satisfying certain curvature conditions related toM-projective, conformal, and concircular curvature tensors. We show that a normal metric contact pair manifold with generalized quasi-constant curvature is locally isometric to the Hopf manifold S2n+1(1) x S1.

  AtıfScopus5·WoS3·OpenAlex4

  İncele