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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

On transversely flat conformal foliations
with good measures


Author: Taro Asuke
Journal: Trans. Amer. Math. Soc. 348 (1996), 1939-1958
MSC (1991): Primary 53C12, 57R30, 53C10; Secondary 53A30, 57R20
MathSciNet review: 1348855
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Abstract: Transversely flat conformal foliations with good transverse invariant measures are Riemannian in the $C^{1+{\operatorname{Lip}}}$ sense. In particular, transversely similar foliations with good measures are transversely Riemannian as transversely $C^{\omega }$-foliations.


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Additional Information

Taro Asuke
Affiliation: 3-8-1 Komaba, Meguro-ku, Tokyo 153, Japan
Email: asuke@ms.u-tokyo.ac.jp

DOI: http://dx.doi.org/10.1090/S0002-9947-96-01598-X
PII: S 0002-9947(96)01598-X
Keywords: Foliation, transverse structure, invariant measure, Riemannian foliation, conformal structure
Received by editor(s): May 8, 1995
Article copyright: © Copyright 1996 American Mathematical Society