Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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A REMARK ON STATISTICAL MANIFOLDS WITH TORSION

  • Hwajeong Kim (Department of Mathematics, Hannam University)
  • Received : 2023.03.21
  • Accepted : 2023.06.01
  • Published : 2023.06.30
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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, ∇), which can have a nonzero torsion, abbreviated to SMT. Then it turns out that the tensor fields ∇g and ${\tilde{\nabla}}g$ obtained from two different SMT-connections are different.

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References

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