Geir Hallgrímsson (1925–1990), Icelandic politician; Prime Minister of Iceland 1974–78; mayor of Reykjavík 1959–72
Heimir Hallgrímsson (born 10 June 1967 in Vestmannaeyjar, Iceland) is an Icelandic football manager and former player, currently managing Iceland jointly with Lars Lagerbäck, having previously been his assistant manager with Iceland.