I have green hair algae in my refugium and unlike that this stuff is darker and a lot stiffer. When I manually remove it it comes off easy in mats as long as it's on a flat part of the rock, but not so much if it's in a hole or crevice, so it grows and spreads back over the parts I cleared and becomes a repetitive task.
How old is the tank? By the look of the rocks it looks new and if that's the case it might go away on it's own when the tank becomes more stable.