Ok i think that i am very closed to find a solution for that but i cant figure it out how :(
What i want to do is to add a simple link at user's profile page that will be only visible to the owners of that page.
I already overrided the function profile_page and i can display what i want to the profile page but i cant find what is the functions that checks if the logged in user is the owner of profile page or not
To be more detailed i need a function to do something like that :
If (the_logged_in_user_is_the_owner_of_the_profile) {
<a href="#">LINK GOES HERE</a> //Display the link
}