There is no universal definition of an 'Air Display' - which may alternatively be described as a 'Flying Display' - but one example of a statutory definition of the sort widely used is "any flying activity deliberately performed for the purpose of providing an exhibition or entertainment at an advertised event open to the public."
Description
Whilst air safety is about the safety of both those in an aircraft and those on the ground, the usual absence of passengers except as volunteers means that the emphasis in the case of air display safety is very much on the safety of those on the ground. Whilst this is to some extent dependent on the way a display aircraft is required to be maintained and flown, it is also affected by the way in which the freedom to mount air displays is constrained. This summary will be concerned almost entirely with civil air display safety.