Some basic inequalities on Riemannian manifolds equipped with metallic structure

Majid Choudhary

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Some basic inequalities on Riemannian manifolds equipped with metallic structure

Majid Ali Choudhary

¹ Department of Mathematics, School of Sciences, Maulana Azad National Urdu University, Hyderabad, India

Academic Editor: Adolfo Ballester-Bolinches

Published: 28 April 2023 by MDPI in The 1st International Online Conference on Mathematics and Applications session Algebra and Geometry with Applications to Related Fields

https://doi.org/10.3390/IOCMA2023-14400 (registering DOI)

Abstract:

In the current research, we develop sharp inequalities including generalized normalized δ-Casorati curvatures for several submanifolds of Riemannian manifolds endowed with metallic structures. For these submanifolds in the same ambient space form, we have also looked into generalized Wintgen inequalities. Additionally, submanifolds for which the equality cases hold are described as well.

Keywords: Slant submanifolds; Metallic structure; Riemannian manifolds; δ-Casorati curvature;

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Majid Choudhary