Invariants of two dimensional projectively Anosov diffeomorphisms
type: Item
instance of: scholarly article
title: Invariants of two dimensional projectively Anosov diffeomorphisms
zbMATH Open document ID: 1024.37021
author: Masayuki Asaoka
published in: Proceedings of the Japan Academy. Series A
publication date: 2003-07-15T00:00:00Z
review text: The author defines invariants of two-dimensional projectivity Anosov diffeomorphisms. The author shows that the space of circles tangent to the invariant subbundle has a kind of Morse decomposition. The author proves that the homotopy type of its one point compactification is preserved under any homotopy of projectivity Anosov diffeomorphisms, and presents calculation of the invariants for some examples.
Mathematics Subject Classification ID: 37D20
Mathematics Subject Classification ID: 37B30
Mathematics Subject Classification ID: 37C15
Mathematics Subject Classification ID: 37E30
zbMATH DE Number: 1902173
zbMATH Keywords: invariants of homotopy type
zbMATH Keywords: Anosov diffeomorphisms
zbMATH Keywords: Morse decomposition
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: pjaa.78.161
OpenAlex ID: W1985828796
cites work: Invariants of two-dimensional projectively Anosov diffeomorphisms and their applications
cites work: Q4375270
cites work: Q4840149
cites work: Anosov flows and non-Stein symplectic manifolds
cites work: Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
DOI: 10.3792/PJAA.78.161
description: scientific article; zbMATH DE number 1902173