マネージャー、プロデューサー、ディレクター(特に演劇や映画における定義)

manager - Definition from Longman English Dictionary Online

someone who is in charge of the business affairs of a singer, an actor etc

producer - Definition from Longman English Dictionary Online

someone whose job is to control the preparation of a play, film, or broadcast, but who does not direct the actors

director - Definition from Longman English Dictionary Online

he person who gives instructions to the actors and other people working on a film or play