Please use this identifier to cite or link to this item:
http://hdl.handle.net/2445/7764
Title: | Periods for transversal maps via Lefschetz numbers for periodic points |
Author: | Guillamon, Antoni Jarque i Ribera, Xavier Llibre, Jaume Ortega Cerdà, Joaquim Torregrosa, J. |
Keywords: | Anàlisi global (Matemàtica) Global analysis Lefschetz Numbers |
Issue Date: | 1995 |
Publisher: | American Mathematical Society |
Abstract: | Let f: M → M be a C1 map on a C1 differentiable manifold. The map f is called transversal if for all m ∈ N the graph of fm intersects transversally the diagonal of M × M at each point (x, x) such that x is a fixed point of fm. We study the set of periods of f by using the Lefschetz numbers for periodic points. We focus our study on transversal maps defined on compact manifolds such that their rational homology is $H_0 \approx \mathbb{Q}, H_1 \approx \mathbb{Q} \oplus \mathbb{Q}$ and Hk ≈ {0} for k ≠ 0, 1. |
Note: | Reproducció digital del document publicat en format paper, proporcionada per JSTOR http://www.jstor.org/stable/2155063 |
It is part of: | Transactions of the American Mathematical Society, 1995, vol. 347, núm. 12, p. 4779-4806. |
URI: | http://hdl.handle.net/2445/7764 |
ISSN: | 1088-6850 |
Appears in Collections: | Articles publicats en revistes (Matemàtiques i Informàtica) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
136633.pdf | 681.64 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.