Generic properties of semi-Riemannian geodesic flows

• Grant number: 08/07604-0
• Support Opportunities: Scholarships in Brazil - Master
• Start date: April 01, 2009
• End date: June 30, 2010
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Paolo Piccione
• Grantee: Renato Ghini Bettiol
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 07/03192-7 - Submanifold geometry and Morse theory in finite and infinite dimensions, AP.TEM

Abstract

The goal is to study the genericity of some properties of the semi-Riemannian geodesic flow.More specifically, we will study an extension of the bumpy metric theorem, proved by Abraham and Anosov in the Riemannian case, to semi-Riemannian manifolds.

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)

BETTIOL, RENATO G.; GIAMBO, ROBERTO. GENERICITY OF NONDEGENERATE GEODESICS WITH GENERAL BOUNDARY CONDITIONS. TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, v. 35, n. 2, p. 339-365, JUN 2010. (08/07604-0)

Academic Publications

(References retrieved automatically from State of São Paulo Research Institutions)

BETTIOL, Renato Ghini. Generic properties of semi-Riemannian geodesic flows. 2010. Master's Dissertation - Universidade de São Paulo (USP). Instituto de Matemática e Estatística (IME/SBI) São Paulo.