Chen Inequality for Statistical Submanifolds of Cosymplectic Manifolds
Mohamd Saleem Lone
TL;DR
This paper establishes Chen inequalities for statistical submanifolds within cosymplectic manifolds and extends the discussion to Legendrian submanifolds, contributing to the geometric understanding of these structures.
Contribution
It derives new Chen inequalities specific to statistical submanifolds and Legendrian submanifolds in cosymplectic manifolds, expanding existing geometric inequalities.
Findings
Chen inequalities for statistical submanifolds derived
Chen inequalities for Legendrian submanifolds discussed
Contributions to geometric inequalities in cosymplectic manifolds
Abstract
In the present paper, we obtain the basic Chen inequalities for the statistical submanifolds of statistical cosymplectic manifolds. Also, we discuss the same inequalities for Legendrian submanifolds.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Point processes and geometric inequalities · Geometry and complex manifolds