SHARP INEQUALITIES INVOLVING THE CHEN-RICCI INEQUALITY FOR SLANT RIEMANNIAN SUBMERSIONS

Akyol M. A., POYRAZ N.

Bulletin of the Korean Mathematical Society, cilt.60, sa.5, ss.1155-1179, 2023 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 60 Sayı: 5
  • Basım Tarihi: 2023
  • Doi Numarası: 10.4134/bkms.b220514
  • Dergi Adı: Bulletin of the Korean Mathematical Society
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Sayfa Sayıları: ss.1155-1179
  • Anahtar Kelimeler: Chen-Ricci inequality, horizontal distribution, Riemannian submersion, Sasakian manifold, slant submersion
  • Uşak Üniversitesi Adresli: Hayır

Özet

Main objective of the present paper is to establish Chen inequalities for slant Riemannian submersions in contact geometry. In this manner, we give some examples for slant Riemannian submersions and also investigate some curvature relations between the total space, the base space and fibers. Moreover, we establish Chen-Ricci inequalities on the vertical and the horizontal distributions for slant Riemannian submer-sions from Sasakian space forms.