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

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Cite this

Llibre, J., & Sirvent, V. F. (2015). C¹ self-maps on closed manifolds with all their periodic points hyperbolic. Houston Journal of Mathematics, 41(4), 1119-1127.

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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",

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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

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JO - Houston Journal of Mathematics

JF - Houston Journal of Mathematics

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