Inequalities for the Generalized Normalized δ-Casorati Curvatures of Submanifolds in Golden Riemannian Manifolds

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 08 Oct 2023 English Publisher:MDPI AGJournal:Axioms, volume 12, page 952 (eissn: 2075-1680,

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Authors: Majid Ali Choudhary; Ion Mihai;

doi: 10.3390/axioms12100952

Inequalities for the Generalized Normalized δ-Casorati Curvatures of Submanifolds in Golden Riemannian Manifolds

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Abstract

In the present article, we consider submanifolds in golden Riemannian manifolds with constant golden sectional curvature. On such submanifolds, we prove geometric inequalities for the Casorati curvatures. The submanifolds meeting the equality cases are also described.

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Maulana Azad National Urdu University
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Keywords

Riemannian manifolds, <i>δ</i>-Casorati curvature, QA1-939, optimal inequality, golden structure, Mathematics

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