Riemannian foliations of bounded geometry
Identifieur interne : 000006 ( Main/Exploration ); précédent : 000005; suivant : 000007Riemannian foliations of bounded geometry
Auteurs : Jesús A. Lvarez L Pez [Espagne] ; Yuri A. Kordyukov [Russie] ; Eric Leichtnam [France]Source :
- Mathematische Nachrichten [ 0025-584X ] ; 2014-10.
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 be given in a forthcoming paper.
Url:
DOI: 10.1002/mana.201300211
Affiliations:
- Espagne, France, Russie
- Galice, Île-de-France
- Paris, Santiago de Compostela
- Université de Saint-Jacques-de-Compostelle
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