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Optimal Inequalities for Hemi-Slant Riemannian Submersions

Author

Listed:
  • Mehmet Akif Akyol

    (Department of Mathematics, Faculty of Arts and Sciences, Bingol University, 12000 Bingöl, Turkey
    These authors contributed equally to this work.)

  • Ramazan Demir

    (Department of Mathematics, Faculty of Arts and Sciences, İnönü University, 44000 Malatya, Turkey
    These authors contributed equally to this work.)

  • Nergiz Önen Poyraz

    (Department of Mathematics, Faculty of Arts and Sciences, Çukurova University, 01330 Adana, Turkey
    These authors contributed equally to this work.)

  • Gabriel-Eduard Vîlcu

    (Department of Mathematics and Informatics, Faculty of Applied Sciences, University Politehnica of Bucharest, Splaiul Independenţei 313, 060042 Bucharest, Romania
    Romanian Academy, “Gheorghe Mihoc-Caius Iacob” Institute of Mathematical Statistics and Applied Mathematics, 050711 Bucharest, Romania
    Research Center in Geometry, Topology and Algebra, Faculty of Mathematics and Computer Science, University of Bucharest, Academiei Str. 14, 010014 Bucharest, Romania
    These authors contributed equally to this work.)

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.

Suggested Citation

  • Mehmet Akif Akyol & Ramazan Demir & Nergiz Önen Poyraz & Gabriel-Eduard Vîlcu, 2022. "Optimal Inequalities for Hemi-Slant Riemannian Submersions," Mathematics, MDPI, vol. 10(21), pages 1-18, October.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:21:p:3993-:d:955314
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