Parabolic geometry may refer to:
* Parabolic geometry, former name for
Euclidean geometry
Euclidean geometry is a mathematical system attributed to ancient Greek mathematics, Greek mathematician Euclid, which he described in his textbook on geometry: the ''Euclid's Elements, Elements''. Euclid's approach consists in assuming a small ...
, a comprehensive and deductive mathematical system
*
Parabolic geometry (differential 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 ge ...
: The homogeneous space defined by a semisimple Lie group modulo a parabolic subgroup, or the curved analog of such a space
*
Cartan parabolic geometry Cartan may refer to:
* Élie Cartan (1869–1951), French mathematician who worked with Lie groups
* Henri Cartan (1904-2008), French mathematician who worked in algebraic topology, son of Élie Cartan
*Anna Cartan (1878-1923), French mathematician ...
, geometry induced by
parabolic Cartan inclusions
{{mathematical disambiguation