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Stability theorems for conformal foliations

Published:1984 Issue:3 Volume:91 Page:485-491
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Blumenthal Robert A.

Abstract

The global stability theorem of G. Reeb is no longer true if the codimension of the foliation is greater than one. However, in the presence of a complete transverse Riemannian structure, B. Reinhart obtained a global stability result. We prove global stability theorems for the much larger class of conformal foliations.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1984-091-03/S0002-9939-1984-0744654-X/S0002-9939-1984-0744654-X.pdf

Reference11 articles.

1. Transversally parallelizable foliations of codimension two;Conlon, Lawrence;Trans. Amer. Math. Soc.,1974

2. Variétés feuilletées;Haefliger, André;Ann. Scuola Norm. Sup. Pisa Cl. Sci. (3),1962

3. 𝐺-foliations and their characteristic classes;Kamber, Franz W.;Bull. Amer. Math. Soc.,1978

4. Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 70;Kobayashi, Shoshichi,1972

5. Propriétés cohomologiques et propriétés topologiques des feuilletages à connexion transverse projetable;Molino, Pierre;Topology,1973

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Feuilletages de type fini compact;Comptes Rendus Mathematique;2004-08

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