Geometry of tangent and cotangent bundles on statistical manifolds

Abstract : This note surveys some results on the geometric structure on the tangent bundle and cotangent bundle of statistical manifolds. We also study the completeness of the tangent bundle with respect to the Sasaki metrics induced from the statistical structures.
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https://hal.archives-ouvertes.fr/hal-02056897
Contributor : Tat Dat Tô <>
Submitted on : Tuesday, September 3, 2019 - 12:00:21 PM
Last modification on : Friday, October 11, 2019 - 8:22:43 PM

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  • HAL Id : hal-02056897, version 2

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Tat Dat Tô, Stéphane Puechmorel. Geometry of tangent and cotangent bundles on statistical manifolds. 2019. ⟨hal-02056897v2⟩

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