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Bull. Korean Math. Soc. 2023; 60(5): 1155-1179
Online first article September 18, 2023 Printed September 30, 2023
https://doi.org/10.4134/BKMS.b220514
Copyright © The Korean Mathematical Society.
Sharp inequalities involving the Chen-Ricci inequality for slant Riemannian submersions
Mehmet Akif Akyol, Nergiz (Önen) Poyraz
Bingol University; \c{C}ukurova University
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 submersions from Sasakian space forms.
Keywords: Riemannian submersion, slant submersion, Chen-Ricci inequality, Sasakian manifold, horizontal distribution
MSC numbers: Primary 53C15, 53B20
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