: Mathématiques: parabolic geometry

geometry > differential geometry > parabolic geometry

parabolic geometry

In differential geometry and the study of Lie groups, a parabolic geometry is a homogeneous space G/P which is the quotient of a semisimple Lie group G by a parabolic subgroup P. More generally, the curved analogs of a parabolic geometry in this sense is also called a parabolic geometry: any geometry that is modeled on such a space by means of a Cartan connection.
(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Parabolic_geometry_(differential_geometry))

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