engagement:
Be modest. Share both your mistakes and your successes. Subordinates will see that you're both human and don't have anything to prove.
Show that you're listening. People tune in to body language. Manage where you look and what you do with your hands so that employees know you're paying attention.
Don't have all the answers. Managers should catalyze problem solving. Be willing to admit that you don't know what the answer is and invite your team to toss around ideas.