Curvature on the tangent bundle of statistical manifolds equipped with generalized Cheeger-Gromoll metrics is expressed via the base Riemannian curvature and skewness tensor, with conditions derived for constant sectional curvature and special geodesic properties.
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Geometry of tangent bundles of statistical manifolds equiped with Cheeger-Gromoll type metrics
Curvature on the tangent bundle of statistical manifolds equipped with generalized Cheeger-Gromoll metrics is expressed via the base Riemannian curvature and skewness tensor, with conditions derived for constant sectional curvature and special geodesic properties.