Like Rus said, some makes the distinction between 'management' and 'administration' of the server.
Management to mean that they would maintain the VPS to the state where it is originally delivered to you and that would just include OS updates. Something like what product warranty does. Like when you get a VCR, they just give you the product but getting it set up would be your job. If the unit does not switch on, you could bring it back for repair or replacement.
Administration would involve customization such as setting up of the DNS server, firewall, security lockdowns, setup of accounts, configuring the control panel and all the other day-to-day tasks involved in running your business and optimizing the machine. Usually VPS provider do not provide this service for free.