Curvature bounded conjugate symmetric statistical structures with\n complete metric

2018/05/20 by Barbara Opozda, Opozda, Barbara · 1 citation
Mathematics · Physics and Astronomy · #53A15 #53C05 #53C20 #53C21 #Differential Geometry (math.DG) #FOS: Mathematics #Morphological variations and asymmetry #Point processes and geometric inequalities #Statistical Mechanics and Entropy

paper · pdf · doi:10.48550/arxiv.1805.07807

openalex publication_date 2018/05/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the paper two important theorems about complete affine spheres are\ngeneralized to the case of statistical structures on abstract manifolds. The\nassumption about constant sectional curvature is replaced by the assumption\nthat the curvature satisfies some inequalities.\n

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