Conformal Control Tools for Statistical Manifolds and for γ-Manifolds
Copyright policy )Conformal Control Tools for Statistical Manifolds and for γ-Manifolds
The theory of statistical manifolds w.r.t. a conformal structure is reviewed in a creative manner and developed. By analogy, the γ-manifolds are introduced. New conformal invariant tools are defined. A necessary condition for the f-conformal equivalence of γ-manifolds is found, extending that for the α-conformal equivalence for statistical manifolds. Certain examples of these new defined geometrical objects are given in the theory of Iinformation.
<i>f</i>-conformal equivalence, γ-manifolds, statistical manifolds, dual connections, control tools, Fisher metric, QA1-939, Weyl manifolds, conformal connections, Mathematics
<i>f</i>-conformal equivalence, γ-manifolds, statistical manifolds, dual connections, control tools, Fisher metric, QA1-939, Weyl manifolds, conformal connections, Mathematics
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