collineation


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Related to collineation: Homography, projective geometry

collineation

[kə‚lin·ē′ā·shən]
(mathematics)
A mapping which transforms points into points, lines into lines, and planes into planes. Also known as collineatory transformation.
References in periodicals archive ?
g]) admits a conformal collineation symmetry defined by a vector field V if
Tashiro, "On conformal collineations," Mathematical Journal of Okayama University, vol.
Maartens, "Kinematics and dynamics of conformal collineations in relativity," Journal of Mathematical Physics, vol.
This correspondence is a collineation of the parabolic subspace [[N>.
A one-to-one map f : S [right arrow] S of a betweenness plane onto itself is said to be a collineation if (abc) [?
If the collineation has a fixed point z and a fixed line A, so that all lines through z and all points of A also remain fixed, then this collineation is called (z, A)-collineation, with centre z and axis A.
Planar collineations of order p in translation planes of order [p.
Any one-to-one map f of a betweenness plane onto itself is said to be a collineation if (abc) [?
B8: For any two flags F and F0 there exists one and only one collineation f so that F' = f(F).
3 Disks from Robertson-Walker solutions admitting Matter and Ricci Collineations
As an example of the above presented formalism, we consider the thin disk models obtained by means of the "displace, cut and reflect" method applied to Robertson-Walker solutions admitting Matter and Ricci collineations.