B. Y. Chen Inequalities for Pointwise Quasi Hemi-slant Submanifolds of a Kaehler Manifold

Poyraz N. Ö., AKYOL M. A., Yaşar E.

in: Infosys Science Foundation Series in Mathematical Sciences, Springer International Publishing Ag, pp.373-388, 2026 identifier

  • Publication Type: Book Chapter / Chapter Research Book
  • Publication Date: 2026
  • Doi Number: 10.1007/978-981-95-5148-4_15
  • Publisher: Springer International Publishing Ag
  • Page Numbers: pp.373-388
  • Keywords: Chen inequality, Complex space form, Kaehler manifold, Pointwise quasi hemi-slant submanifold, Second fundamental form
  • Uşak University Affiliated: Yes

Abstract

In this study, we establish Chen-type inequalities for pointwise quasi hemi-slant submanifolds within Kaehler manifolds, giving explicit relations among the mean curvature, scalar curvature, sectional curvature, Ricci curvature, and the ambient space’s sectional curvature. Moreover, we characterize the conditions under which these inequalities become equalities.