Infinitesimal Stability of Anosov Endomorphisms

✍ Scribed by Hiroshi Ikeda

• Publisher: Elsevier Science
• Year: 1996
• Tongue: English
• Weight: 283 KB
• Volume: 130
• Category: Article
• ISSN: 0022-0396
• DOI: 10.1006/jdeq.1996.0129

✦ Synopsis

It is well known that infinitesimal stability of diffeomorphisms is an open property. But infinitesimal stability of endomorphisms is not an open property. We show that for Anosov endomorphisms structural stability is equivalent to lying in the interior of the set of infinitesimally stable endomorphisms.