Statistical Structures in Almost Paracontact Geometry
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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.
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