Anti de Sitter space
n-dimensional anti de Sitter space
is the geometry
with Lorentzian signature with the automorphism group SO(n,2)
(possibly with reflections), according to the Erlanger program
It is also a cosmological model for the universe.
A coordinate patch covering part of the space gives the half-space coordinatization of anti de Sitter space. The metric is now
See also de Sitter space, AdS/CFT.
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