Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Doubly autoparallel structure on the probability simplex   On the probability simplex, we can consider the standard information
geometric structure with the e- and m-affine connections mutually dual with
respect to the Fisher metric. The geometry naturally defines submanifolds
simultaneously autoparallel for the both affine connections, which we call {\em
doubly autoparallel submanifolds}.
  In this note we discuss their several interesting common properties. Further,
we algebraically characterize doubly autoparallel submanifolds on the
probability simplex and give their classification.

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The categories of this paper are: supr-con
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The categories of this paper are: hep-th
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The categories of this paper are: physics
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The categories of this paper are: hep-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: q-fin
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The categories of this paper are: dg-ga
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: patt-sol