Do residential basements and corridor residential properties have management rights?

I don't know what you mean by management

In principle, whether it is a basement, a corridor or a park, as long as it is public, the property management company has the obligation to conduct daily inspections, management, maintenance and maintenance.

But this kind of management is service. It is not that property management companies have the right to dispose of and ownership of these areas, but that the real owners of public areas are all owners.