Expansive foliations
type: Item
instance of: scholarly article
title: Expansive foliations
zbMATH Open document ID: 0748.57013
author: Takashi Inaba
author: Nobuo Tsuchiya
published in: Hokkaido Mathematical Journal
publication date: 1992-09-26T00:00:00Z
review text: The authors introduce the notion of expansiveness into foliation theory. They prove that in the case of codimension-one foliations the topological structure of a foliation completely characterizes its expansiveness. It follows that the geometric entropy of a codimension-one expansive foliation is positive and that the fundamental group of a manifold admitting a codimension-one expansive foliation has exponential growth. Similar results are obtained in the case of strongly expansive foliations with arbitrary codimension.
Mathematics Subject Classification ID: 57R30
Mathematics Subject Classification ID: 37C85
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37D99
zbMATH DE Number: 55918
zbMATH Keywords: codimension-one foliations
zbMATH Keywords: geometric entropy
zbMATH Keywords: expansive foliation
zbMATH Keywords: fundamental group
zbMATH Keywords: exponential growth
zbMATH Keywords: strongly expansive foliations
reviewed by: Andrzej Piatkowski
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.14492/hokmj/1381413264
OpenAlex ID: W4250569974
DOI: 10.14492/HOKMJ/1381413264
description: scientific article; zbMATH DE number 55918