Lisbon Regicide Lisbon Regicide The Lisbon Regicide () was the murder of King Carlos I of Portugal and the Algarves and his heir-apparent, Luís Filipe, Prince Royal of Portugal, by assassins sympathetic to Republican interests and aided by elements within the Portuguese Carbonária, disenchanted politicians and anti-monarchists. The events occurred on 1 February 1908 at the Praça do Comércio along the banks of the Tagus River in Lisbon, commonly referred to by its antiquated name "Terreiro do Paço". Some idealistic students, politicians and dissidents were inspired by the founding of the French Third Republic in 1870 and hoped that a similar regime
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