John Carew (regicide) John Carew (regicide) John Carew (1622–1660), from Antony, Cornwall, was one of the regicides of King Charles I. He was the eldest son of Richard Carew of Antony in Cornwall, and his second wife, of the family of Rolle of Hesnton in Devonshire, and was consequently the half-brother of Sir Alexander Carew. He is said to have been educated at one of the universities, and to have been a student at the inns of court. He was elected MP for Tregony in 1647, he was a prominent member of the Fifth Monarchy Men who saw the overthrow of Charles I
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