Pré-Publication, Document De Travail Année : 2019

ANALYSIS ON RIEMANNIAN FOLIATIONS OF BOUNDED GEOMETRY

Résumé

A leafwise Hodge decomposition was proved by Sanguiao for Riemannian foliations of bounded geometry. Its proof is explained again in terms of our study of bounded geometry for Riemannian fo-liations. It is used to associate smoothing operators to foliated flows, and describe their Schwartz kernels. All of this is extended to a leafwise version of the Novikov differential complex.

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hal-02164105 , version 1 (24-06-2019)

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  • HAL Id : hal-02164105 , version 1

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Jesús a Álvarez López, Yuri Kordyukov, Eric Leichtnam. ANALYSIS ON RIEMANNIAN FOLIATIONS OF BOUNDED GEOMETRY. 2019. ⟨hal-02164105⟩
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