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

Research output: Contribution to journalArticleResearchpeer-review

4 Citations (Scopus)

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.
Original languageEnglish
Pages (from-to)323-334
JournalTaiwanese Journal of Mathematics
Volume16
Issue number1
Publication statusPublished - 19 Jan 2012

Keywords

  • Complex projective space
  • Hyperbolic periodic point
  • Lefschetz number
  • Lefschetz zeta function
  • Period
  • Quaternion projective space
  • Sphere

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