Riemannian foliations of bounded geometry

Riemannian foliations of bounded geometry

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 deri...

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Veröffentlicht in:Mathematische Nachrichten 2014-10, Vol.287 (14-15), p.1589-1608
Hauptverfasser: López, Jesús A. Álvarez, Kordyukov, Yuri A., Leichtnam, Eric
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53C20
53C21
57R30
bounded geometry
O'Neill tensors
Riemannian foliation
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container_issue 14-15
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container_title Mathematische Nachrichten
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creator López, Jesús A. Álvarez
Kordyukov, Yuri A.
Leichtnam, Eric
description 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 be given in a forthcoming paper.
doi_str_mv 10.1002/mana.201300211
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subjects 53C20
53C21
57R30
bounded geometry
O'Neill tensors
Riemannian foliation
title Riemannian foliations of bounded geometry
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