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arXiv · 1905.12912

Analysis on Riemannian foliations of bounded geometry

Jesús A. Álvarez López·Yuri A. Kordyukov·Eric Leichtnam
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Abstract

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 foliations. 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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Jesús A. Álvarez López, Yuri A. Kordyukov, Eric Leichtnam. 2019-05-30. Analysis on Riemannian foliations of bounded geometry. https://arxiv.org/abs/1905.12912

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