Causal structure in anti de Sitter space

• Grant number: 12/22891-1
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: January 01, 2013
• End date: December 31, 2013
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Geometry and Topology
• Principal Investigator: Carlos Henrique Grossi Ferreira
• Grantee: Matheus Do Carmo Teodoro
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

A new and expanded approach to conformal structures on absolutes of projective classic geometries was introduced by the supervisor and collaborators (see the research project for details). The simplest example of a classic geometry whose absolute admits a conformal - or causal, as a physicist may call it - structure which is of hyperbolic and not of elliptic nature is anti de Sitter space. Studying such causal structure constitutes the main goal of the project.