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Server Manager is designed to provide one place to manage several servers, but you're going to want to drill down into a server to see how it's being configured, and to check that it's up to date and functioning normally. Important diagnostic information is always surfaced in the top level of Server Manager, but it's useful to get a fuller picture.
Metro and WinRT may be at the heart of Windows 8 on the desktop, but they're purely adjuncts on the server. The charms and contracts are there, along with the Start Screen, but you're hardly likely to see them as you can manage much of a server from inside Server Manager or via PowerShell (or externally via RSAT and System Center).
Windows Server 2012 administrators can be given rights to work with other servers — either managing specific servers for a business function, or all the servers that have a set role. You can use the tools in Server Manager to handle all those servers, including remotely installing applications and features.