When I listen to a YouTube video fullscreen in landscape on my Galaxy Nexus, the navigation bar on the right disapear after a few seconds (the bar which contains the "back&
The last information I have is that you can use the black tape to cover it. That's the suggestion given by Chet Haase. Watch this google IO 2011 session Q&A starting at 53minutes
Youtube app also dim it, not remove it. It is called light out mode.
View v = findViewById(R.id.view_id);
v.setSystemUiVisibility(View.STATUS_BAR_HIDDEN);