C 1 self-maps on S n, S n × S m, ℂP n and ℍP n with all their periodic orbits hyperbolic

Juan Luis Garcĺa Guirao; Jaume Llibre

C ¹ self-maps on S ⁿ, S ⁿ × S ^m, ℂP ⁿ and ℍP ⁿ with all their periodic orbits hyperbolic

Juan Luis Garcĺa Guirao, Jaume Llibre

Departament de Matemàtiques

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Resum

We study in its homological class the periodic structure of the C 1 self-maps on the manifolds S n (the n-dimensional sphere), S n × S m (the product space of the n-dimensional with the m-dimensional spheres), ℂP n (the n-dimensional complex projective space) and ℍP n (the n-dimensional quaternion projective space), having all their periodic orbits hyperbolic.

Idioma original	Anglès
Pàgines (de-a)	323-334
Revista	Taiwanese Journal of Mathematics
Volum	16
Número	1
Estat de la publicació	Publicada - 19 de gen. 2012

Accés al document

https://ddd.uab.cat/record/150553

Com citar-ho

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title = "C 1 self-maps on S n, S n × S m, ℂP n and ℍP n with all their periodic orbits hyperbolic",

abstract = "We study in its homological class the periodic structure of the C 1 self-maps on the manifolds S n (the n-dimensional sphere), S n × S m (the product space of the n-dimensional with the m-dimensional spheres), ℂP n (the n-dimensional complex projective space) and ℍP n (the n-dimensional quaternion projective space), having all their periodic orbits hyperbolic.",

keywords = "Complex projective space, Hyperbolic periodic point, Lefschetz number, Lefschetz zeta function, Period, Quaternion projective space, Sphere",

author = "Guirao, {Juan Luis Garc{\'l}a} and Jaume Llibre",

year = "2012",

month = jan,

day = "19",

language = "English",

volume = "16",

pages = "323--334",

journal = "Taiwanese Journal of Mathematics",

issn = "1027-5487",

publisher = "Mathematical Society of the Rep. of China",

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TY - JOUR

T1 - C 1 self-maps on S n, S n × S m, ℂP n and ℍP n with all their periodic orbits hyperbolic

AU - Guirao, Juan Luis Garcĺa

AU - Llibre, Jaume

PY - 2012/1/19

Y1 - 2012/1/19

N2 - We study in its homological class the periodic structure of the C 1 self-maps on the manifolds S n (the n-dimensional sphere), S n × S m (the product space of the n-dimensional with the m-dimensional spheres), ℂP n (the n-dimensional complex projective space) and ℍP n (the n-dimensional quaternion projective space), having all their periodic orbits hyperbolic.

AB - We study in its homological class the periodic structure of the C 1 self-maps on the manifolds S n (the n-dimensional sphere), S n × S m (the product space of the n-dimensional with the m-dimensional spheres), ℂP n (the n-dimensional complex projective space) and ℍP n (the n-dimensional quaternion projective space), having all their periodic orbits hyperbolic.

KW - Complex projective space

KW - Hyperbolic periodic point

KW - Lefschetz number

KW - Lefschetz zeta function

KW - Period

KW - Quaternion projective space

KW - Sphere

M3 - Article

SN - 1027-5487

VL - 16

SP - 323

EP - 334

JO - Taiwanese Journal of Mathematics

JF - Taiwanese Journal of Mathematics

IS - 1

ER -

C 1 self-maps on S n, S n × S m, ℂP n and ℍP n with all their periodic orbits hyperbolic

Resum

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C ¹ self-maps on S ⁿ, S ⁿ × S ^m, ℂP ⁿ and ℍP ⁿ with all their periodic orbits hyperbolic