Lisbon Regicide led the ceremonies by placing flowers on the site where the assassination had taken place and celebrated a mass in their memory at the Church of São Vicente de Fora (where they are buried). During the centenary year many artistic, cultural, and historic events took place in honor of King Carlos I and the royal family, and several books on the subject were published. 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
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