Parabolic geometry
From Wikipedia, the free encyclopedia
In mathematics, the world parabolic geometry is used in the following meanings:
- Euclidean geometry
- More generally, a manifold with a connection having zero scalar curvature (the word elliptic would indicate positive scalar curvature and the word hyperbolic indicates negative scalar curvature)
- Cartan geometry of parabolic type. This is a Cartan geometry modeled on the pair (G,P) where G is a semisimple Lie group and P a parabolic subgroup. Surprisingly, the above mentioned Euclidean geometry is not among these geometries, so this may cause confusion.
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