Optimal Inequalities for Hemi-Slant Riemannian Submersions

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Akyol M. A., DEMİR R., Poyraz N. Ö., Vîlcu G.

Mathematics, vol.10, no.21, 2022 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 10 Issue: 21
  • Publication Date: 2022
  • Doi Number: 10.3390/math10213993
  • Journal Name: Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
  • Keywords: Chen–Ricci inequality, complex space form, hemi-slant submersion, Kähler manifold, Riemannian submersion
  • Uşak University Affiliated: No

Abstract

In the present paper, we establish some basic inequalities involving the Ricci and scalar curvature of the vertical and the horizontal distributions for hemi-slant submersions having the total space a complex space form. We also discuss the equality case of the obtained inequalities and provide illustrative examples.