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

ÇİMEN Ç., TAŞTAN H. M.

Turkish Journal of Mathematics, cilt.49, sa.5, ss.677-694, 2025 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 49 Sayı: 5
  • Basım Tarihi: 2025
  • Doi Numarası: 10.55730/1300-0098.3617
  • Dergi Adı: Turkish Journal of Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.677-694
  • Anahtar Kelimeler: 53B35, 53C15, Hopf space form, horizontal distribution, Locally conformal Kähler manifold, semislant submersion, vertical distribution
  • İstanbul Üniversitesi Adresli: Evet

Özet

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.