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

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

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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Veröffentlicht in:Axioms 2023-10, Vol.12 (10), p.952
Hauptverfasser: Choudhary, Majid Ali, Mihai, Ion
Format: Artikel
Sprache:eng
Schlagworte:
golden structure
Inequalities
Inequality
Manifolds (mathematics)
optimal inequality
Riemann manifold
Riemannian manifolds
Topological manifolds
δ-Casorati curvature
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Zusammenfassung: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.
ISSN:2075-1680
2075-1680
DOI:10.3390/axioms12100952