Minimal number of periodic points for smooth self-maps of S³

Grzegorz Graff, and Jerzy Jezierski. "Minimal number of periodic points for smooth self-maps of S³." Fundamenta Mathematicae 204.2 (2009): 127-144. <http://eudml.org/doc/282767>.

@article{GrzegorzGraff2009,
abstract = {Let f be a continuous self-map of a smooth compact connected and simply-connected manifold of dimension m ≥ 3 and r a fixed natural number. A topological invariant $D^m_r[f]$, introduced by the authors [Forum Math. 21 (2009)], is equal to the minimal number of r-periodic points for all smooth maps homotopic to f. In this paper we calculate $D³_r[f]$ for all self-maps of S³.},
author = {Grzegorz Graff, Jerzy Jezierski},
journal = {Fundamenta Mathematicae},
keywords = {least number of periodic points; indices of iterations; smooth maps; Nielsen number; low dimensional dynamics},
language = {eng},
number = {2},
pages = {127-144},
title = {Minimal number of periodic points for smooth self-maps of S³},
url = {http://eudml.org/doc/282767},
volume = {204},
year = {2009},
}

TY - JOUR
AU - Grzegorz Graff
AU - Jerzy Jezierski
TI - Minimal number of periodic points for smooth self-maps of S³
JO - Fundamenta Mathematicae
PY - 2009
VL - 204
IS - 2
SP - 127
EP - 144
AB - Let f be a continuous self-map of a smooth compact connected and simply-connected manifold of dimension m ≥ 3 and r a fixed natural number. A topological invariant $D^m_r[f]$, introduced by the authors [Forum Math. 21 (2009)], is equal to the minimal number of r-periodic points for all smooth maps homotopic to f. In this paper we calculate $D³_r[f]$ for all self-maps of S³.
LA - eng
KW - least number of periodic points; indices of iterations; smooth maps; Nielsen number; low dimensional dynamics
UR - http://eudml.org/doc/282767
ER -