Regicide Regicide The broad definition of regicide ( "of king" + ' "killer" or ' "killing") is the deliberate killing of a monarch, or the person responsible for the killing of a person of royalty. In the British tradition, it refers to the judicial execution of a king after a trial, reflecting the historical precedent of the trial and execution of Charles I of England. More broadly, it can also refer to the killing of an emperor or any other reigning sovereign. Before the Tudor period, English kings had been murdered while imprisoned (for example Edward II or Edward V) or
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