Statistical Warped Product Immersions into Statistical Manifolds of (Quasi-)Constant Curvature

Warped products provide an elegant and versatile framework for exploring and understanding a wide range of geometric structures. Their ability to combine two distinct manifolds through a warping function introduces a rich and diverse set of geometries, thus making them a powerful tool in various mat...

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Bibliographic Details
Published in:Symmetry (Basel) 2024-06, Vol.16 (6), p.771
Main Authors: Siddiqui, Aliya Naaz, Khan, Meraj Ali, Chaubey, Sudhakar Kumar
Format: Article
Language:English
Subjects:
Curvature
dual connections
Geometry
Hypothesis testing
Laplacian operators
Manifolds (mathematics)
Mathematical functions
Parameter estimation
quasi-constant curvature
statistical immersions
statistical manifolds
statistical warped products
Topological manifolds
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Summary:Warped products provide an elegant and versatile framework for exploring and understanding a wide range of geometric structures. Their ability to combine two distinct manifolds through a warping function introduces a rich and diverse set of geometries, thus making them a powerful tool in various mathematical, physical, and computational applications. This article addresses the central query related to warped product submanifolds in the context of statistics. It focuses on deriving two new and distinct inequalities for a statistical warped product submanifold in a statistical manifold of a constant (quasi-constant) curvature. This article then finishes with some concluding remarks.
ISSN:2073-8994
2073-8994
DOI:10.3390/sym16060771