An Optimal Inequality for the Normal Scalar Curvature in Metallic Riemannian Space Forms

Siraj Uddin (), Majid Ali Choudhary and Najwa Mohammed Al-Asmari
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Siraj Uddin: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia
Majid Ali Choudhary: Department of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad 500032, India
Najwa Mohammed Al-Asmari: Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2023, vol. 11, issue 10, 1-10

Abstract: In this paper, we prove the DDVV conjecture for a slant submanifold in metallic Riemannian space forms with the semi-symmetric metric connection. The equality case of the derived inequality is discussed, and some special cases of the inequality are given.

Keywords: metallic structure; Riemannian manifolds; scalar curvature; Wintgen inequality (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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