Honestly, I have a different opinion.  If you have a good relationship with your manager, talk to him/her before you submit your application.  Although you had great performance, your experience may not be long enough to be a leader and your teammates may not vision you in a leading role.  It is subtle to choose between being aggressive and being over-aggressive.  And even if you are selected to be a manager, it could be very hard for you to perform well when you haven't established a strong image as a leader in your team.  Sometimes, it could negatively affect your career.  I would recommend you to talk with your manager to express your interest in the management track and also your confidence in leadership.  He/she should give you some good suggestions and you can also feel the water in his/her comments.

Best luck!