Communications of the Korean Mathematical Society (대한수학회논문집)

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A NOTE ON STATISTICAL MANIFOLDS WITH TORSION

  • Hwajeong Kim (Department of Mathematics Hannam University)
  • Received : 2022.07.15
  • Accepted : 2022.11.25
  • Published : 2023.04.30
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Abstract

Given a linear connection ∇ and its dual connection ∇*, we discuss the situation where ∇ + ∇* = 0. We also discuss statistical manifolds with torsion and give new examples of some type for linear connections inducing the statistical manifolds with non-zero torsion.

Keywords

Acknowledgement

This work was supported by 2019 Hannam University Research Fund.

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