Is Batman Begins connected to The Dark Knight?

Is Batman Begins connected to The Dark Knight? THE DARK KNIGHT TRILOGY was written and directed by Christopher Nolan and consists of BATMAN BEGINS (2005), THE DARK KNIGHT (2008), and THE DARK KNIGHT RISES (2012).

THE DARK KNIGHT TRILOGY was written and directed by Christopher Nolan and consists of BATMAN BEGINS (2005), THE DARK KNIGHT (2008), and THE DARK KNIGHT RISES (2012).