Riemannian foliations of bounded geometry

Jesús A. Álvarez López; Yuri A. Kordyukov; Eric Leichtnam

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arXiv · 1308.0637

Riemannian foliations of bounded geometry

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

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Abstract

Continuing the study of bounded geometry for Riemannian foliations, begun by Sanguiao, we introduce a chart-free definition of this concept. Our main theorem states that it is equivalent to a condition involving certain normal foliation charts. For this type of charts, it is also shown that the derivatives of the changes of coordinates are uniformly bounded, and there are nice partitions of unity. Applications to a trace formula for foliated flows will given in a forthcoming paper.

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BibTeX RIS

Jesús A. Álvarez López, Yuri A. Kordyukov, Eric Leichtnam. 2013-08-02. Riemannian foliations of bounded geometry. https://arxiv.org/abs/1308.0637

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