Chen inequalities for slant Riemannian submersions from cosymplectic space forms

POYRAZ N., Akyol M. A.

Filomat, vol.37, no.11, pp.3615-3629, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 37 Issue: 11
  • Publication Date: 2023
  • Doi Number: 10.2298/fil2311615p
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.3615-3629
  • Keywords: Chen inequality, Cosymplectic manifold, Riemannian submersion, Slant submersion, Vertical distribution
  • Uşak University Affiliated: No

Abstract

We introduce Chen inequalities for slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We provide trivial and non-trivial examples for slant Riemannian submersions, investigate some curvature relations between the total space, the base space and fibres. Moreover, we obtain Chen-Ricci inequalities on the vertical and the horizontal distributions for slant Riemannian submersions from cosymplectic space forms.