C^1 Self-maps on closed manifolds with all their periodic points hyperbolic

We present several results providing sufficient conditions for the existence of quasi-unipotent maps on different closed manifolds having infinitely many periodic points all of them hyperbolic.

Bibliographic Details
Authors: Llibre, Jaume|||0000-0002-9511-5999, Sirvent, Víctor F.
Format: article
Publication Date:2015
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:145344
Online Access:https://ddd.uab.cat/record/145344
Access Level:Open access
Keyword:Almost quasi-unipotent maps
Differentiable maps
Hyperbolic periodic points
Lefschetz numbers
Lefschetz zeta function
Quasi-unipotent maps
Description
Summary:We present several results providing sufficient conditions for the existence of quasi-unipotent maps on different closed manifolds having infinitely many periodic points all of them hyperbolic.