parabolic geometry

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Related to parabolic geometry: elliptic geometry, hyperbolic geometry
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Noun1.parabolic geometry - (mathematics) geometry based on Euclid's axiomsparabolic geometry - (mathematics) geometry based on Euclid's axioms
math, mathematics, maths - a science (or group of related sciences) dealing with the logic of quantity and shape and arrangement
geometry - the pure mathematics of points and lines and curves and surfaces
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References in periodicals archive ?
Soucek, Branching laws for Verma modules and applications in parabolic geometry. I, Adv.
In the Euclidean geometry, also called parabolic geometry, the fifth Euclidean postulate that there is only one parallel to a given line passing through an exterior point, is kept or validated.
This work provides an introduction to the theory and main results of parabolic geometries, for graduate students and research mathematicians interested in parabolic geometry, conformal geometry, almost quaternionic structures, and CR-structures.