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

 

Holonomy and metric properties of foliations in higher codimension


Author: Alexander Morgan
Journal: Proc. Amer. Math. Soc. 58 (1976), 255-261
MSC: Primary 57D30
MathSciNet review: 0410761
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Abstract: It is well known that a codimension 1 foliation with finite holonomy on a compact manifold must have a bundle-like metric. A counterexample is presented to the higher codimension generalization of this theorem. However, a stronger holonomy restriction (expressed via the Bott connection) is shown to imply the existence of a bundle-like metric.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1976-0410761-X
PII: S 0002-9939(1976)0410761-X
Article copyright: © Copyright 1976 American Mathematical Society