A Sufficient Condition for the Existence of Periodic Points of Homeomorphisms on Surfaces

HAYAKAWA, Eijirou

Tokyo J. of Math., Tome 18 (1995) no. 2, p. 213-219 / Harvested from Project Euclid

Résumé

Let $\rho_1,\rho_2,\ldots,\rho_{2g+1}$ be rotation vectors for periodic points of a homeomorphism on an orientable surface of genus $g>1$. Assume that the convex hull of the set $\{\rho_1,\rho_2,\ldots,\rho_{2g+1}\}$, Conv$(\rho_1,\rho_2,\ldots,\rho_{2g+1})$, has nonempty interior. We will give a sufficient condition for the existence of a dense subset of Conv$(\rho_1,\rho_2,\ldots,\rho_{2g+1})$ that is realized by periodic points.

Publié le : 1995-06-15
Classification:

@article{1270043622,
     author = {HAYAKAWA, Eijirou},
     title = {A Sufficient Condition for the Existence of Periodic Points of Homeomorphisms on Surfaces},
     journal = {Tokyo J. of Math.},
     volume = {18},
     number = {2},
     year = {1995},
     pages = { 213-219},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1270043622}
}

HAYAKAWA, Eijirou. A Sufficient Condition for the Existence of Periodic Points of Homeomorphisms on Surfaces. Tokyo J. of Math., Tome 18 (1995) no. 2, pp.  213-219. http://gdmltest.u-ga.fr/item/1270043622/