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

Önen Poyraz N., Gündüzalp Y., Akyol M. A.

International Journal of Geometric Methods in Modern Physics, cilt.21, sa.8, 2024 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 21 Sayı: 8
  • Basım Tarihi: 2024
  • Doi Numarası: 10.1142/s0219887824501500
  • Dergi Adı: International Journal of Geometric Methods in Modern Physics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: bi-slant submersion, Casorati curvature, Chen inequality, Kaehler manifold, Riemannian submersion, vertical distribution
  • Uşak Üniversitesi Adresli: Hayır

Özet

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∗φ∗. Also, we mention some examples.