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Hyperbolicity of the Compact Leaves of Statistical Manifold Foliations

Abstract : In this work, we show a construction of a Hessian foliation on a statistical manifold. Our results provide conditions, under which the compacts hessian leaves (up to diffeomorphism) are quotients of homogeneous convex cones.
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Preprints, Working Papers, ...
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https://hal-enac.archives-ouvertes.fr/hal-03008361
Contributor : Stephane Puechmorel <>
Submitted on : Tuesday, February 9, 2021 - 4:00:56 PM
Last modification on : Tuesday, February 16, 2021 - 9:47:14 AM

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  • HAL Id : hal-03008361, version 2

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Michel Boyom, Emmanuel Gnandi, Stéphane Puechmorel. Hyperbolicity of the Compact Leaves of Statistical Manifold Foliations. 2021. ⟨hal-03008361v2⟩

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