On transversely flat conformal foliations with good measures. II
type: Item
instance of: scholarly article
title: On transversely flat conformal foliations with good measures. II
zbMATH Open document ID: 0932.53023
author: Taro Asuke
published in: Hiroshima Mathematical Journal
publication date: 1999-04-27T00:00:00Z
review text: 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)].
Mathematics Subject Classification ID: 53C12
zbMATH DE Number: 1251463
zbMATH Keywords: transversely flat conformal structure
zbMATH Keywords: invariant measure
reviewed by: Boris N. Apanasov
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.32917/hmj/1206126681
OpenAlex ID: W1482636043
Wikidata QID: Q128870648
DOI: 10.32917/HMJ/1206126681
description: scientific article; zbMATH DE number 1251463