Statistical Structures in Almost Paracontact Geometry
- 31 Downloads
Various types of statistical structures are introduced in almost paracontact geometry and characterizations for them are given. A large class of examples is provided by an arbitrary 1-form by deforming the Levi-Civita connection by a mixed projective and dual-projective transformation. The particular case of the paracontact form \(\eta \) from the almost paracontact structure leads to simpler conditions in terms of the Levi-Civita connection.
KeywordsStatistical manifold Almost paracontact structure (Dual)projective equivalence
Mathematics Subject ClassificationPrimary 53C15 Secondary 53C25 53C05 53C50
The authors wish to thank the referee for her/his very helpful suggestions and comments which lead to the improvement of this article.
- 1.S.-I. Amari, Information geometry and its applications, Applied Mathematical Sciences, Vol. 194. Springer (2016)Google Scholar