Symplectic geometry applied to mathematical physics

• Grant number: 10/15179-8
• Support Opportunities: Regular Research Grants
• Start date: November 01, 2010
• End date: October 31, 2012
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Applied Mathematics
• Principal Investigator: Pedro Paulo de Magalhaes Rios
• Grantee: Pedro Paulo de Magalhaes Rios
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

Research project divided in four parts: 1) Quantization and correspondence in symmetric symplectic spaces, 2) Semiclassical dynamics in symplectic vector spaces, 3) Lagrangian singularities in semiclassical dynamics, 4) Geometric formulation of conservative dynamical systems with non holonomic constraints. (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)

DOMITRZ, WOJCIECH; MANOEL, MIRIAM; RIOS, PEDRO DE M.. The Wigner caustic on shell and singularities of odd functions. JOURNAL OF GEOMETRY AND PHYSICS, v. 71, p. 58-72, SEP 2013. (10/15179-8)

DOMITRZ, WOJCIECH; RIOS, PEDRO DE M.. Singularities of equidistants and global centre symmetry sets of Lagrangian submanifolds. Geometriae Dedicata, v. 169, n. 1, p. 361-382, APR 2014. (10/15179-8)

DOMITRZ, W.; RIOS, P. DE M.; RUAS, M. A. S.. SINGULARITIES OF AFFINE EQUIDISTANTS: PROJECTIONS AND CONTACTS. JOURNAL OF SINGULARITIES, v. 10, p. 15-pg., 2014-01-01. (10/15179-8, 13/04630-9, 08/54222-6, 14/00304-2)