The geometry of semislant submersions whose total manifolds are locally conformal Kähler manifolds

ÇİMEN Ç., TAŞTAN H. M.

Turkish Journal of Mathematics, vol.49, no.5, pp.677-694, 2025 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 49 Issue: 5
  • Publication Date: 2025
  • Doi Number: 10.55730/1300-0098.3617
  • Journal Name: Turkish Journal of Mathematics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Page Numbers: pp.677-694
  • Keywords: 53B35, 53C15, Hopf space form, horizontal distribution, Locally conformal Kähler manifold, semislant submersion, vertical distribution
  • Istanbul University Affiliated: Yes

Abstract

We study semislant submersions whose total manifolds are locally conformal Kähler manifolds. We provide conditions for the total geodesicity and integrability of the distributions involved in the definition. Next, we establish a condition under which such a submersion is a Clairaut submersion. Finally, we obtain some optimal inequalities for a semislant submersion whose total manifold is Hopf space form.