Projective differential geometry and asymptotic analysis in General Relativity

Abstract

In this text, we explore the tools that Projective Differential Geometry can provide for the asymptotic analysis of classical fields on projectively compact manifolds. We emphasise on the case of order 2-compactifications and develop, in this case, a projective exterior differential tractor calculus that is analogous to that existing for conformally compact manifolds.

Cited by in corpus (3)

• Higher fundamental forms of the conformal boundary of asymptotically de Sitter spacetimes
• Asymptotic symmetries of projectively compact order one Einstein manifolds
• Boundary rigidity, and non-rigidity, of projective structures