C1 self-maps on closed manifolds with all their periodic points hyperbolic

Jaume Llibre; Víctor F. Sirvent

C¹ self-maps on closed manifolds with all their periodic points hyperbolic

Jaume Llibre, Víctor F. Sirvent

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

1 Citation (Scopus)

Abstract

© 2015 University of Houston. We present several results providing sufficient conditions for the existence of almost quasi-unipotent maps on different closed manifolds having infinitely many periodic points all of them hyperbolic.

Original language	English
Pages (from-to)	1119-1127
Journal	Houston Journal of Mathematics
Volume	41
Issue number	4
Publication status	Published - 1 Jan 2015

Keywords

Almost quasi-unipotent maps
Differentiable maps
Hyperbolic periodic points
Lefschetz numbers
Lefschetz zeta function
Quasi-unipotent maps

Access to Document

https://ddd.uab.cat/record/145344

Cite this

@article{78c3886c811f476e8d105f3f1bc63be0,

title = "C1 self-maps on closed manifolds with all their periodic points hyperbolic",

abstract = "{\textcopyright} 2015 University of Houston. We present several results providing sufficient conditions for the existence of almost quasi-unipotent maps on different closed manifolds having infinitely many periodic points all of them hyperbolic.",

keywords = "Almost quasi-unipotent maps, Differentiable maps, Hyperbolic periodic points, Lefschetz numbers, Lefschetz zeta function, Quasi-unipotent maps",

author = "Jaume Llibre and Sirvent, {V{\'i}ctor F.}",

year = "2015",

month = jan,

day = "1",

language = "English",

volume = "41",

pages = "1119--1127",

journal = "Houston Journal of Mathematics",

issn = "0362-1588",

publisher = "University of Houston",

number = "4",

}

TY - JOUR

T1 - C1 self-maps on closed manifolds with all their periodic points hyperbolic

AU - Llibre, Jaume

AU - Sirvent, Víctor F.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - © 2015 University of Houston. We present several results providing sufficient conditions for the existence of almost quasi-unipotent maps on different closed manifolds having infinitely many periodic points all of them hyperbolic.

AB - © 2015 University of Houston. We present several results providing sufficient conditions for the existence of almost quasi-unipotent maps on different closed manifolds having infinitely many periodic points all of them hyperbolic.

KW - Almost quasi-unipotent maps

KW - Differentiable maps

KW - Hyperbolic periodic points

KW - Lefschetz numbers

KW - Lefschetz zeta function

KW - Quasi-unipotent maps

M3 - Article

VL - 41

SP - 1119

EP - 1127

JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

SN - 0362-1588

IS - 4