Corpus ID: 238198679

Algebraic properties of the information geometry's fourth Frobenius manifold

  title={Algebraic properties of the information geometry's fourth Frobenius manifold},
  author={Noemie C. Combe and Philippe Combe and Hanna Nencka},
Recently, it has been shown that within the statistical manifold, related to exponential families, there exists a submanifold having a Frobenius manifold structure. This appears as the fourth class of Frobenius manifolds. It has a structure of a projective manifold over a rank two Frobenius algebra A, being the algebra of paracomplex numbers and generated by 1, ε such that ε = 1. This last result is a key step towards an algebraization of the results concerning the manifold of probability… 

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