Ricci and scalar curvature inequalities for semi-slant Riemannian submersions in complex space forms

POYRAZ N., Akyol M. A., DEMİR R.

International Journal of Geometric Methods in Modern Physics, vol.20, no.8, 2023 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 20 Issue: 8
  • Publication Date: 2023
  • Doi Number: 10.1142/s0219887823501335
  • Journal Name: International Journal of Geometric Methods in Modern Physics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Keywords: Chen-Ricci inequality, complex space form, Kaehler manifold, Riemannian submersion, semi-slant submersion
  • Uşak University Affiliated: No

Abstract

This paper is devoted to the obtain Chen inequalities containing the Ricci and scalar inequalities on the vertical and the horizontal distributions for semi-slant Riemannian submersions from complex space forms onto Riemannian manifolds. The equality case of the obtained inequalities is discussed. At the end, some geometric consequences are obtained. Moreover, many examples are constructed.