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| ON THE TOPOLOGICALLY CONJUGATE CLASSESOF ANOSOV ENDOMORPHISMS ON TORI |
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Citation： |
Zhang Meirong.ON THE TOPOLOGICALLY CONJUGATE CLASSESOF ANOSOV ENDOMORPHISMS ON TORI[J].Chinese Annals of Mathematics B,1989,10(3):416~425 |
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Net amount： 735 |
Authors： |
Zhang Meirong; |
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| Abstract： |
This paper considers the following question: Given an Anosov endomorphism $f$ on $\[{T^m}\]$, whether $f$ is topologically conjugate to some hyperbolic toral endomorphism? It is well known that the answer for Anosov diffeomorphisms and expanding endomorphisms is
affirmative. Hwever for the remainder Anosov endomorphisms, a quite different answer is obtained in this paper, i.e for generic Anosov endomorphisms, they are not topologically
conjugate to any hyperbolic toral endomorphism. |
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