Curvature inequalities and Simons' type formulas in statistical geometry

DOI10.1007/978-3-030-80209-7_43zbMath1490.53026OpenAlexW3182541131MaRDI QIDQ2117875

Barbara Opozda

Publication date: 22 March 2022

Full work available at URL: https://doi.org/10.1007/978-3-030-80209-7_43

zbMATH Keywords

maximum principlestatistical structureSimons' formula

Mathematics Subject Classification ID

Applications of statistics to physics (62P35) Local Riemannian geometry (53B20) Differential geometric aspects of statistical manifolds and information geometry (53B12)

Cites Work

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• A sectional curvature for statistical structures
• Some relations between Riemannian and affine geometry
• Bochner's technique for statistical structures
• Dual connections and affine geometry
• An intrinsic rigidity theorem for minimal submanifolds in a sphere
• Curvature bounded conjugate symmetric statistical structures with complete metric
• Some theorems in affine differential geometry
• Harmonic functions on complete riemannian manifolds
• Global affine differential geometry of hypersurfaces

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