Conformal vector fields on statistical manifolds


  • Leila Samereh Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran
  • Esmaeil Peyghan Department of Mathematics, Faculty of Science, Arak University, Arak, 38156-8-8349, Iran



 Introducing the conformal vector fields on a statistical manifold, we present necessary and sufficient conditions for a vector field on a statistical manifold to be conformal. After presenting some examples, we classify the conformal vector fields on two famous statistical manifolds. Considering three statistical structures on the tangent bundle of a statistical manifold, we study the conditions under which the complete and horizontal lifts of a vector field can be conformal on these structures.


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