Optimal Inequalities for Hemi-Slant Riemannian Submersions

Mehmet Akif Akyol, Ramazan Demir, Nergiz Önen Poyraz and Gabriel-Eduard Vîlcu ()
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Mehmet Akif Akyol: Department of Mathematics, Faculty of Arts and Sciences, Bingol University, 12000 Bingöl, Turkey
Ramazan Demir: Department of Mathematics, Faculty of Arts and Sciences, İnönü University, 44000 Malatya, Turkey
Nergiz Önen Poyraz: Department of Mathematics, Faculty of Arts and Sciences, Çukurova University, 01330 Adana, Turkey
Gabriel-Eduard Vîlcu: Department of Mathematics and Informatics, Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independenţei 313, 060042 Bucharest, Romania

Mathematics, 2022, vol. 10, issue 21, 1-18

Abstract: In the present paper, we establish some basic inequalities involving the Ricci and scalar curvature of the vertical and the horizontal distributions for hemi-slant submersions having the total space a complex space form. We also discuss the equality case of the obtained inequalities and provide illustrative examples.

Keywords: Chen–Ricci inequality; Riemannian submersion; hemi-slant submersion; complex space form; Kähler manifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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