An Optimal Inequality for the Normal Scalar Curvature in Metallic Riemannian Space Forms-Reference-Cited by-同舟云学术

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

Published:2023-05-11 Issue:10 Volume:11 Page:2252
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Uddin Siraj¹,Choudhary Majid Ali²,Al-Asmari Najwa Mohammed¹³

Affiliation:

1. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

2. Department of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad 500032, India

3. Department of Mathematics, College of Science, King Khalid University, Muhayil Asir 61913, Saudi Arabia

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.

Funder

Institutional Fund Projects

Ministry of Education and King Abdulaziz University, DSR, Jeddah, Saudi Arabia

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2227-7390/11/10/2252/pdf

Reference37 articles.

1. Sur l’inegalite de Chen-Willmore;Wintgen;CR Acad. Sci. Paris Ser. A-B,1979

2. Normal curvature of surfaces in space forms;Guadalupe;Pacific J. Math.,1983

3. Rouxel, B. (1981). Sur une Famille des A-Surfaces d’un Espace Euclidien E4, Osterreischer Mathematiker Kongress.

4. A Wintgen type inequality for surfaces in 4 D neutral pseudo-Riemannian space forms and its applications to minimal immersions;Chen;JMI Int. J. Math. Sci.,2010

5. Wintgen ideal surfaces in four-dimensional neutral indefinite space form R24(c);Chen;Results Math.,2012