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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. (AU)

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