TY - JOUR
TI - GEOMETRIZATION OF A GENERAL COLLINEATION
AU - TSAMPARLIS, M
JO - Journal of Mathematical Physics
PY - 1992
VL - 33
TODO - 4
SP - 1472-1479
PB - AMER INST PHYSICS
SN - 0022-2488, 1089-7658
TODO - 10.1063/1.529724
TODO - null
TODO - Geometrization of a general collineation means to express the
collineation as necessary and sufficient conditions on the kinematic
quantities (shear, vorticity, expansion) of the congruence of the vector
field generating the collineation.  It is shown that the generic form of
a collineation is L(xi)g(ab) = 2-psi-g(ab) + H(ab) where H(ab) is a
traceless symmetric tensor.  A general theorem concerning the
geometrization of the generic collineation is presented and its
applications are discussed.
ER -