On transversely flat conformal foliations with good measures

Asuke, Taro

doi:10.1090/S0002-9947-96-01598-X

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
DOI: https://doi.org/10.1090/S0002-9947-96-01598-X
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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