Chen inequalities for slant Riemannian submersions from cosymplectic space forms

POYRAZ N., Akyol M. A.

Filomat, cilt.37, sa.11, ss.3615-3629, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 11
  • Basım Tarihi: 2023
  • Doi Numarası: 10.2298/fil2311615p
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.3615-3629
  • Anahtar Kelimeler: Chen inequality, Cosymplectic manifold, Riemannian submersion, Slant submersion, Vertical distribution
  • Uşak Üniversitesi Adresli: Hayır

Özet

We introduce Chen inequalities for slant Riemannian submersions from cosymplectic manifolds onto Riemannian manifolds. We provide trivial and non-trivial examples for slant Riemannian submersions, investigate some curvature relations between the total space, the base space and fibres. Moreover, we obtain Chen-Ricci inequalities on the vertical and the horizontal distributions for slant Riemannian submersions from cosymplectic space forms.