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    Optimal Inequalities for Hemi-Slant Riemannian Submersions
    (Mdpi, 2022) Akyol, Mehmet Akif; Demir, Ramazan; Poyraz, Nergiz Onen; Vilcu, Gabriel-Eduard
    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.
  • Küçük Resim Yok
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    Ricci and scalar curvature inequalities for semi-slant Riemannian submersions in complex space forms
    (World Scientific Publ Co Pte Ltd, 2023) Poyraz, Nergiz (Onen); Akyol, Mehmet Akif; Demir, Ramazan
    This paper is devoted to the obtain Chen inequalities containing the Ricci and scalar inequalities on the vertical and the horizontal distributions for semi-slant Riemannian submersions from complex space forms onto Riemannian manifolds. The equality case of the obtained inequalities is discussed. At the end, some geometric consequences are obtained. Moreover, many examples are constructed.