Some inequalities for bi-slant Riemannian submersions in complex space forms

POYRAZ N., Gündüzalp Y., Akyol M. A.

International Journal of Geometric Methods in Modern Physics, 2024 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2024
  • Doi Number: 10.1142/s0219887824501500
  • 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: bi-slant submersion, Casorati curvature, Chen inequality, Kaehler manifold, Riemannian submersion, vertical distribution
  • Çukurova University Affiliated: Yes

Abstract

The goal of this paper is to analyze sharp-type inequalities including the scalar and Ricci curvatures of bi-slant Riemannian submersions in complex space forms. Then, for bi-slant Riemannian submersion between a complex space form and a Riemannian manifold, we give inequalities involving the Casorati curvature of the space ker ϕ∗. Also, we mention some examples.