What does it mean, to carry? Often times when you carry another you assist them through a time when the person or animal or thing could not walk. That means you have not only the means to get them there (from one point to another) but you also have the inner strength to do the task and perhaps the physical strength as well.
As a leader, not a manager, you carry a vision and have the tenacity to carry out the values of the company or organization you run. If you waiver in your leadership your strength will wane and you will drop the ball. Who will carry you? Hopefully you have led well and your employees or co-workers will carry you. If you have led poorly, you might at least feel abandoned in your position.