SHARP INEQUALITIES INVOLVING THE CHEN-RICCI INEQUALITY FOR SLANT RIEMANNIAN SUBMERSIONS

Akyol M. A., POYRAZ N.

Bulletin of the Korean Mathematical Society, vol.60, no.5, pp.1155-1179, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 60 Issue: 5
  • Publication Date: 2023
  • Doi Number: 10.4134/bkms.b220514
  • Journal Name: Bulletin of the Korean Mathematical Society
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.1155-1179
  • Keywords: Chen-Ricci inequality, horizontal distribution, Riemannian submersion, Sasakian manifold, slant submersion
  • Uşak University Affiliated: No

Abstract

Main objective of the present paper is to establish Chen inequalities for slant Riemannian submersions in contact geometry. In this manner, we give some examples for slant Riemannian submersions and also investigate some curvature relations between the total space, the base space and fibers. Moreover, we establish Chen-Ricci inequalities on the vertical and the horizontal distributions for slant Riemannian submer-sions from Sasakian space forms.