September 27, 2025Open Access

Inequalities for generalized normalized δ-Casorati curvatures of Quasi Bi-Slant Submanifolds of Generalized Complex Space Forms

Key Points

Sharp inequalities involving normalized δ-Casorati curvatures were established for quasi bi-slant submanifolds.
Equivalence conditions for equality to hold in these inequalities were characterized for specific submanifolds.
The inequalities were extended to include various other submanifold types, such as slant and invariant submanifolds.
This work highlights the geometric relationships inherent in generalized complex space forms.

Abstract

In this article, we establish sharp inequalities involving generalized normalized δ-Casorati curvatures for quasi bi-slant submanifoldsin generalized complex space forms and also characterize the submanifolds for which the equality holds. In addition, we’ve extended the sam inequalities to other types of submanifolds within the same geometric space. These include slant, invariant, anti-invariant, semi-slant, hemislant and bi-slant submanifolds.

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