Regicide murdered, or attempted to murder, the king) was especially hard, even in regard to the harsh judicial practices of pre-revolutionary France. As with many criminals, the regicide was tortured so as to make him tell the names of his accomplices. However, the method of execution itself was a form of torture. Here is a description of the death of Robert-François Damiens, who attempted to kill Louis XV: In "Discipline and Punish", the French philosopher Michel Foucault cites this case of Damiens the Regicide as an example of disproportionate punishment in the era preceding the "Age of Reason". The classical school
Conformal Killing equation Conformal Killing equation In conformal geometry, the conformal Killing equation on a manifold of space-dimension "n" with metric formula_1 describes those vector fields formula_2 which preserve formula_1 up to scale, i.e. for some function formula_5 (where formula_6 is the Lie derivative). Vector fields that satisfy the conformal Killing equation are exactly those vector fields whose flow preserves the conformal structure of the manifold. The name Killing refers to Wilhelm Killing, who first investigated the Killing equation for vector fields that preserve a Riemannian metric. By taking the trace we find that necessarily formula_7. Therefore we can write the conformal Killing