Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2019; 34(3): 897-910

Online first article July 8, 2019      Printed July 31, 2019

https://doi.org/10.4134/CKMS.c180240

Copyright © The Korean Mathematical Society.

Robust special Anosov endomorphisms

Seyed Mohsen Moosavi, Khosro Tajbakhsh

Tarbiat Modares University; Tarbiat Modares University

Abstract

In this paper we introduce the notion of \emph{``robust special \linebreak Anosov endomorphisms"}, and show that Anosov endomorphisms of tori which are not neither an Anosov diffeomorphism nor an expanding map, are not robust special.

Keywords: hyperbolicity, transitivity, special Anosov endomorphisms, structural stability

MSC numbers: Primary 37D05, 37D20