Projective differential geometry and asymptotic analysis in General Relativity
Differential Geometry
2022-03-08 v2 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2109.05834,
title = {Projective differential geometry and asymptotic analysis in General Relativity},
author = {Jack Borthwick},
journal= {arXiv preprint arXiv:2109.05834},
year = {2022}
}