English

Completeness in affine and statistical geometry

Differential Geometry 2020-03-27 v1

Abstract

We begin the study of completeness of affine connections, especially those on statistical manifolds as well as on affine hypersurfaces. We collect basic facts, prove new theorems and provide examples with remarkable properties.

Keywords

Cite

@article{arxiv.2003.11984,
  title  = {Completeness in affine and statistical geometry},
  author = {Barbara Opozda},
  journal= {arXiv preprint arXiv:2003.11984},
  year   = {2020}
}

Comments

15 pages

R2 v1 2026-06-23T14:28:17.403Z