Yazarlar

• Prakasha, D.G.(2)
• Ünal, İnan(2)
• Bin Turki, Nasser(1)
• Deepika, M.V.(1)
• Prakasha, Doddabhadrappla Gowda(1)
• Sarı, R.(1)
• Una, I.(1)
• Veerabhadraswamy Deepika, Mathad(1)

• MakaleYalnız künye2025Scopus SJRQ3/r/munzur/1341
  Symmetry and Curvature in LP-Kenmotsu Manifolds with Generalized Tanaka-Webster Connection

  Prakasha, D.G.; Deepika, M.V.; Ünal, İnan

  In this study, we investigate Lorentzian para-Kenmotsu (LP-Kenmotsu (LPK)) manifolds in the context of the generalized Tanaka-Webster connection, denoted as D*. Initially, we derive the formulas for the curvature tensor, Ricci tensor, and scalar curvature of an LPK manifold with respect to the connection D*. We analyze the geometric properties of these manifolds, including their local symmetry, Ricci semi-symmetry, and local ψ-symmetry. Furthermore, utilizing the Q-curvature tensor, we analyze conditions under which LPK manifolds exhibit Q*-flatness, Q*-Ricci semi-symmetry, and ψ-Q*-flatness concerning the connection D*.

  İncele
• MakaleAçık Erişim2024Scopus SJRQ2/r/munzur/1954
  On LP-Kenmotsu Manifold with Regard to Generalized Symmetric Metric Connection of Type (α, β)

  Prakasha, Doddabhadrappla Gowda; Bin Turki, Nasser; Veerabhadraswamy Deepika, Mathad; Ünal, İnan

  In the current article, we examine Lorentzian para-Kenmotsu (shortly, LP-Kenmotsu) manifolds with regard to the generalized symmetric metric connection (Formula presented.) of type (Formula presented.). First, we obtain the expressions for curvature tensor, Ricci tensor and scalar curvature of an LP-Kenmotsu manifold with regard to the connection (Formula presented.). Next, we analyze LP-Kenmotsu manifolds equipped with the connection (Formula presented.) that are locally symmetric, Ricci semi-symmetric, and (Formula presented.) -Ricci symmetric and also demonstrated that in all these situations the manifold is an Einstein one with regard to the connection (Formula presented.). Moreover, we obtain some conclusions about projectively flat, projectively semi-symmetric and (Formula presented.) -projectively flat LP-Kenmotsu manifolds concerning the connection (Formula presented.) along with several consequences through corollaries. Ultimately, we provide a 5-dimensional LP-Kenmotsu manifold example to validate the derived expressions.

  AtıfScopus3·OpenAlex1

  İncele
• MakaleYalnız künye2022Scopus SJRQ3/r/munzur/2811
  Ricci tensor on normal metric contact pair manifolds

  Una, I.; Sarı, R.; Prakasha, D.G.

  In this paper we study NMCP manifolds, which are (2p+2q+2)−dimensional differential manifolds with an normal metric contact pair structure. The aim of the study is to examine the Riemannian geometry of normal metric contact pair manifolds under certain conditions related to the ⋆−Ricci tensor. We prove that a⋆−Ricci-semi-symmetric NMCP manifold is ⋆−Ricci-flat, and that a ⋆−generalized quasi-Einstein NMCP manifold cannot be ⋆−Ricci-semi-symmetric. Finally, we consider the concircular curvature tensor on NMCP manifolds and prove that a concircular flat NMCP manifold is locally isometric to (2p+2q+2)-dimensional hyperbolic space

  AtıfScopus1

  İncele