On transversely flat conformal foliations with good measures. II (Q1279991)

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scientific article; zbMATH DE number 1251463
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On transversely flat conformal foliations with good measures. II
scientific article; zbMATH DE number 1251463

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    On transversely flat conformal foliations with good measures. II (English)
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    27 April 1999
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    The author uses a metric constructed by \textit{J. Ferrand} [Math. Ann. 304, 277-291 (1996; Zbl 0866.53027)] to improve his previous results from Part I of this paper [\textit{T. Asuke}, Trans. Am. Math. Soc. 348, 1939-1958 (1996; Zbl 0864.53019)]. Namely, he shows that foliations of closed manifolds which have transversely flat conformal structures and admit non-atomic, full support transverse invariant measures are Riemannian in the usual \(C^{\infty}\)-sense [see \textit{P. Molino}, `Riemannian foliations' (Progr. in Math. 73, Birkhäuser, Basel) (1988; Zbl 0633.53001)].
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    transversely flat conformal structure
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    invariant measure
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