I really misunderstood your question earlier. You are just missing some using statements, I think.
The GetOwinContext().GetUserManager<ApplicationUserManager>() is in Microsoft.AspNet.Identity.Owin.
So try add this part:
using Microsoft.AspNet.Identity.Owin;
using Microsoft.AspNet.Identity; // Maybe this one too
var manager = HttpContext.Current.GetOwinContext().GetUserManager<UserManager<User>>();