paper

Curvature bounded conjugate symmetric statistical structures with complete metric

arXiv:1805.07807

Abstract

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

15 pages

Curvature bounded conjugate symmetric statistical structures with complete metric · wovepaper