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Ricci and scalar curvature inequalities for semi-slant Riemannian submersions in complex space forms

Nergiz Önen Poyraz

Department of Mathematics, Faculty of Arts and Sciences, Çukurova University, 01330 Adana, Turkey

E-mail Address: nonen@cu.edu.tr

Corresponding author.

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Mehmet Akif Akyol

Department of Mathematics, Faculty of Arts and Sciences, Bingol University, 12000 Bingöl, Turkey

E-mail Address: mehmetakifakyol@bingol.edu.tr

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, and

Ramazan Demir

Department of Mathematics, Faculty of Arts and Sciences, İnönü University, 44000 Malatya, Turkey

E-mail Address: ramazan.demir@inonu.edu.tr

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https://doi.org/10.1142/S0219887823501335Cited by:1 (Source: Crossref)

Abstract

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.

Keywords:

AMSC: 53C15, 53B20

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