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Casorati-Type Inequalities for Submanifolds in S-Space Forms with Semi-Symmetric Connection
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The primary aim of this paper is to establish two sharp geometric inequalities concerning submanifolds of S-space forms equipped with semi-symmetric metric connections (SSMCs). Specifically, we derive new inequalities involving the generalized normalized δ-Casorati curvatures δc(t;q1+q2−1) and δ^c(t;q1+q2−1) for bi-slant submanifolds. The cases in which equality holds are thoroughly examined, offering a deeper understanding of the geometric structure underlying such submanifolds. In addition, we present several immediate applications that highlight the relevance of our findings, and we support the article with illustrative examples.
Title: Casorati-Type Inequalities for Submanifolds in S-Space Forms with Semi-Symmetric Connection
Description:
The primary aim of this paper is to establish two sharp geometric inequalities concerning submanifolds of S-space forms equipped with semi-symmetric metric connections (SSMCs).
Specifically, we derive new inequalities involving the generalized normalized δ-Casorati curvatures δc(t;q1+q2−1) and δ^c(t;q1+q2−1) for bi-slant submanifolds.
The cases in which equality holds are thoroughly examined, offering a deeper understanding of the geometric structure underlying such submanifolds.
In addition, we present several immediate applications that highlight the relevance of our findings, and we support the article with illustrative examples.
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