English

Curvature bounded conjugate symmetric statistical structures with complete metric

Differential Geometry 2018-05-22 v1

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.

Keywords

Cite

@article{arxiv.1805.07807,
  title  = {Curvature bounded conjugate symmetric statistical structures with complete metric},
  author = {Barbara Opozda},
  journal= {arXiv preprint arXiv:1805.07807},
  year   = {2018}
}

Comments

15 pages

R2 v1 2026-06-23T02:02:01.047Z