61 citations · 360 across the 42 of their papers we have counts for
4 papers · 2 filters
START in a five-dimensional conformal domain
Arkadiusz Jadczyk
In this paper we give a brief review of the pseudo-Riemannian geometry of the five-dimensional homogeneous space for the conformal group O(4,2). Its topology is described and its r…
Geometry and Shape of Minkowski's Space Conformal Infinity
Arkadiusz Jadczyk
We review and further analyze Penrose's 'light cone at infinity' - the conformal closure of Minkowski space. Examples of a potential confusion in the existing literature about it's…
Gravitation on a Homogeneous Domain
Arkadiusz Jadczyk
Among all plastic deformations of the gravitational Lorentz vacuum \cite{wr1} a particular role is being played by conformal deformations. These are conveniently described by using…
Compactified Minkowski Space: Myths and Facts
Arkadiusz Jadczyk
Minkowski space, conformal group, compactification, conformal infinity, conformal inversion, light cone at infinity, SU(2,2), SO(4,2), Hodge star operator, Clifford algebra, spinor…