The paper explores curvature and flatness in statistical manifolds.
arXiv research
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The abstract discusses transformations on statistical and semi-Weyl manifolds with torsion.
This article is a survey of recent work of the authors developing a new approach to quantization based on the equivariance with respect to some Lie group of symmetries. Examples are provided by conformal and projective differential geometry: given a smooth manifold M endowed with a flat conformal/projective structure, …
The paper explores conditions for statistical manifolds to be immersed and dual to each other.
Log-conformal projective pairs restrict to simple geometric structures.