Codimension one Anosov actions of R^k

• Grant number: 09/06328-2
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Duration: August 01, 2009 - August 31, 2009
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Carlos Alberto Maquera Apaza
• Grantee: Carlos Alberto Maquera Apaza
• Visiting researcher: Thierry Barbot
• Visiting researcher institution: Université d'Avignon et des Pays de Vaucluse, France
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The main aim of this research project is to give continuity to the systematic study initiated with the collaboration of Thierry Barbot [4] of the research project. More precisely, we try to generalize the know results on topological classification of codimension one Anosov flows for actions of R^k. This results will be fundamental for to show, in the long term, the equivalent for actions of R^k the well know Verjovsky conjecture: "Codimension one Anosov flows on closed manifolds of dimension greather than 3 are topologically equivalent to the suspension of a toral hyperbolic automorphism" (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

BARBOT, THIERRY; MAQUERA, CARLOS. Algebraic Anosov actions of nilpotent Lie groups. Topology and its Applications, v. 160, n. 1, p. 199-219, JAN 1 2013. (08/02841-4, 09/06328-2, 09/13882-6)

BARBOT, THIERRY; MAQUERA, CARLOS. ON INTEGRABLE CODIMENSION ONE ANOSOV ACTIONS OF R-k. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, v. 29, n. 3, p. 803-822, MAR 10 2011. (09/06328-2, 09/13882-6, 08/02841-4)