Speaking as a submissive individual, I don't think that there is a specific way a Dom/me should act or behave. It's going to depend on the the two individuals involved. If there was a specific way they should behave and everyone did it the same, there not be any joy/pride in the relationship.
With that I'm going to borrow this from a Dom that I know. I've known him as a Dom and simply a friend.
Seven Pillars Of Dominance
Author: J. Mikael Togneri ©
A dominant is a ruler, but never a tyrant.
But to rule requires understanding, and understanding requires humility.
A dominant has pride, but never arrogance.
But pride requires dignity, and dignity requires humility.
A dominant commands respect, but never fear.
But respect requires serenity, and serenity requires humility.
A dominant employs strength, but never force.
But strength requires knowledge, and knowledge requires humility.
A dominant criticises, but never derides.
But criticism requires insight, and insight requires humility.
A dominant receives, but never takes.
But receiving requires giving, and giving requires humility.
A dominant completes, but never tries to alter.
But to complete one must be able to see what is there, not what is missing, and this most of all requires humility.