Concept of opposition
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Nice problem and its impossible to have less on the chess board. This is a good exercise to teach players about opposition and outflanking. Bravo.
This is an excellent test of your knowledge of the opposition and outflanking. It's easy if you understand them and there's good commentary in case you don't. 
Good job it is a good one
Do I understand the opposition rule correctly?
We occupy an opposition if after our move there is an odd number of squares between them or (if there is an open vertical line between them - in case of vertical opposition) they stand on squares of the same colour. If we can't capture the opposition, we outflanks so that there is an open vertical between the kings.
Yes, there are only Kings in this puzzle. No, it's not an error. And yes, there is a purpose!!
Since you've made this far reading it, here it goes... White's goal in this possition is to dominate eighter one of the f8 or h8 squares. Use you're knowledge of opposition and outflanking to conquer this objective. Good luck, and leave you're comments after!
TIP: To conquer this objective, White must first go to the kingside of the board.
Reference: This puzzle was taken from Jeremy Silman's How to Reassess Your Chess