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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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https://hal-enac.archives-ouvertes.fr/hal-03008361
Contributor : Stephane Puechmorel <>
Submitted on : Monday, November 16, 2020 - 5:37:07 PM
Last modification on : Wednesday, November 18, 2020 - 3:22:43 AM

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  • HAL Id : hal-03008361, version 1

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Michel Boyom, Emmanuel Gnandi, Stéphane Puechmorel. Hyperbolicity of the Compact Leaves of Statistical Manifold Foliations. 2020. ⟨hal-03008361⟩

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