Broadly, it is the Civil Liability for negligence. What a layperson refers to as the ‘common law duty of care’ has been codified under the respective States Civil Liability legislation (see below), and when dealing with real estate it can also be known as Occupiers’ Liability.
Note that the ‘person in the management or control’ can include the Strata Committee, the Strata Manager, contractors, and others, as it is their responsibility to ensure their acts or omissions do not harm any person (or damage property).