This project aims to study focal set (caustic) geometry of a smooth surface M in Euclidean space R^3 and deduce some geometric information about the surface M

• Grant number: 08/02622-0
• Support Opportunities: Scholarships abroad - Research
• Start date: September 05, 2008
• End date: November 30, 2008
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Luciana de Fátima Martins
• Grantee: Luciana de Fátima Martins
• Host Investigator: Farid Tari
• Host Institution: Instituto de Biociências, Letras e Ciências Exatas (IBILCE). Universidade Estadual Paulista (UNESP). Campus de São José do Rio Preto. São José do Rio Preto , SP, Brazil
• Institution abroad: Durham University (DU), England

Abstract

The aim of this project is to study the geometry of the focal set (caustic) of a smooth surface M in the Euclidean 3-space and deduce from this study geometric information about the surface M. (AU)