The Android Framework is the entire stack of stuff that makes up the OS. This is the underlying Native libraries that are not directly accessible, the layer above that that you actually interact with and the code that developers write to run on the system. Yo are confused about Libraries vs APIs. Libraries are just chunks of useful code, APIs are the interface to those libraries. API actually stands for Application Programming Interface. The Managers do exactly what it says on the tin! The Activity Manager is the class that manages Activities, the Location Manager manages your current location.
