Yazarlar

• Barman, Ajit(2)
• Ünal, İnan(2)
• Prakasha, D.G.(1)

• Kitap BölümüYalnız künye2026/r/munzur/1057
  Chen Inequalities for Submanifolds of Kenmotsu Space Forms

  Ünal, İnan; Barman, Ajit; Prakasha, D.G.

  This chapter explores Chen-Ricci inequalities for submanifolds of Kenmotsu space forms endowed with a ϕ−η-connection, a special type of quarter-symmetric metric connection. The geometric background of Kenmotsu space forms and the properties of the ϕ−η-connection are briefly introduced, followed by the derivation of relevant curvature relations. The study proceeds by examining submanifolds within this framework, focusing on the behavior of curvature tensors and associated Riemannian invariants. Using the properties of the ambient space and the chosen connection, several inequalities involving Chen invariants and Ricci curvatures are obtained.

  İncele
• MakaleAçık Erişim2022Scopus SJRQ3/r/munzur/2480
  GEOMETRY OF KENMOTSU MANIFOLDS ADMITTING Z-TENSOR

  Barman, Ajit; Ünal, İnan

  The object of this paper is to study Kenmotsu manifolds admitting Z−tensor, which is a generalization of Einstein tensor that comes from general rel-ativity. We define a special type of quarter-symmetric non-metric ϕ and η-connection on a Kenmotsu manifold and we examine some geometric properties of such manifolds with Z−tensor. Some semi-symmetry conditions related to Z−tensor are studied on Kenmotsu manifolds and finally, we ob-serve our results on a 5-dimensional Kenmotsu manifold.

  AtıfScopus6

  İncele