A remark on statistical manifolds with torsion
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Abstract
Consider a Riemannian manifold $M$ equipped with a metric $g$. In this article, we study a notion for statistical manifolds $(M,g,\nabla)$, which can have a non-zero torsion, abbreviated to SMT. Then it turns out that the tensor fields $\nabla g$ and $\tilde{\nabla} g$ obtained from two different SMT-connections are different.
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