Dynamics and contact topology

• Grant number: 11/01830-1
• Support Opportunities: Research Grants - Visiting Researcher Grant - International
• Start date: October 06, 2011
• End date: October 05, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Pedro Antonio Santoro Salomão
• Grantee: Pedro Antonio Santoro Salomão
• Visiting researcher: Joachim Weber
• Visiting researcher institution: Bielefeld University, Germany
• Host Institution: Instituto de Matemática e Estatística (IME). Universidade de São Paulo (USP). São Paulo , SP, Brazil
• Associated research grant: 06/03829-2 - Dynamic in low dimensions, AP.TEM

Abstract

In the first part of the project, we investigate stability of energy hypersurfaces in cotangent bundle below Manés critical value, that is in the presence of strong magnetic fields. In the second part, we intend to carry over the definition of augmented symplectic action to contact geometry and relate it to Hofer, Wysocki and Zehnder alternative. (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)

WEBER, JOA. Morse homology for the heat flow. MATHEMATISCHE ZEITSCHRIFT, v. 275, n. 1-2, p. 1-54, OCT 2013. (11/01830-1)