SurfNTurf-I think that leadership management difference entails a certain amount of courage.
Leaders do the work that others are afraid to taken on. They have the confidence to confront problems and do not avoid a problem because they do not know what to do. For example, Rudy Giuliani when he was elected Mayor of New York cracked down on the high crime rate by changing the culture.
He arrested people that vandalized buildings and made sure there was a larger police presence on the streets. He also led welfare reform which lessens the burden the city government was facing and actually got people to work.
He however, is most famous regarding the actions he took after the twin towers fell on September 11th. He supported the fire dept and the police officers by going to all of their funerals of the fallen officers.
This is another thing that a leader always does and it is why people will work harder for a leader that supports his team.