John Bourchier (regicide) those who refused. At the outbreak of the English Civil War, he was arrested and imprisoned in York until 1643. He was elected Member of Parliament for Ripon in 1647; at Pride's Purge, he was one of the MPs permitted to keep his seat in Commons. As a judge at the trial of King Charles, he was one of the signatories of the King's death warrant. After the Restoration, May 1660, Bourchier was too ill to be tried as a regicide, and died, unrepentant, a few months later. "During these contests between the two Houses, touching the exceptions to be
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