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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Stability theorems for conformal foliations


Author: Robert A. Blumenthal
Journal: Proc. Amer. Math. Soc. 91 (1984), 485-491
MSC: Primary 57R30; Secondary 53C12
MathSciNet review: 744654
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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.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0744654-X
PII: S 0002-9939(1984)0744654-X
Keywords: Conformal foliation, $ G$-foliation, infinitesimal holonomy groups
Article copyright: © Copyright 1984 American Mathematical Society