Expansion growth of foliations
type: Item
instance of: scholarly article
title: Expansion growth of foliations
zbMATH Open document ID: 0789.58063
author: Shinji Egashira
published in: Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
publication date: 1993-08-31T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/73311
review text: Section 0 (Introduction) recalls in particular the notion of the entropy of a foliation and presents an outline of the contents of the paper. In Section 1 (Growth) it is defined the growth of an increasing sequence of increasing functions (an auxiliary notion). In particular polynomial growth and quasi-exponential growth is defined. Exponential growth of a foliation on a compact manifold is defined in Section 2, where certain properties of this notion are described. The case of a transversely oriented codimension 1 foliation of the class \(C^ 0\) on a compact manifold is discussed in the last Section 2.
Mathematics Subject Classification ID: 37C85
zbMATH DE Number: 404393
zbMATH Keywords: exponential growth
zbMATH Keywords: entropy of a foliation
zbMATH Keywords: growth
zbMATH Keywords: polynomial growth
zbMATH Keywords: quasi-exponential growth
reviewed by: Andrzej Pelczar
MaRDI profile type: Publication
OpenAlex ID: W2070455982
cites work: Entropy for Group Endomorphisms and Homogeneous Spaces
cites work: Poincare-Bendixson Theory for Leaves of Codimension One
cites work: Codimension one foliations of closed manifolds
cites work: Geometric entropy of foliations
cites work: Introduction to the Geometry of Foliations, Part A
cites work: Q3345447
cites work: Q3831765
cites work: Characteristic invariants of noncompact Riemannian manifolds
cites work: Q3894666
cites work: Q3931654
DOI: 10.5802/AFST.756
description: scientific article; zbMATH DE number 404393