Chen inequalities for statistical submersions between statistical manifolds
Aliya Naaz Sıddıquı, Bang‐Yen Chen, Mohd Danish Siddiqi
Abstract
We study statistical submersions between statistical manifolds. In particular, we establish Chen–Ricci inequalities of statistical submersions between statistical manifolds and a [Formula: see text] Chen-type inequality for statistical submersions. Some applications are also given.
Topics & Concepts
MathematicsChenPure mathematicsStatistical manifoldInequalityStatistical analysisStatistical modelStatistical theoryMathematical analysisStatisticsGeologyInformation geometryGeometryScalar curvatureCurvaturePaleontologyPoint processes and geometric inequalitiesGeometric Analysis and Curvature FlowsMathematical Inequalities and Applications