Tensairity is a trademarked term[1] for a light weight structural concept that uses low pressure air to stabilize compression elements against buckling.
[2] It employs an ancient foundational splinting structure using inflated airbeams and attached stiffeners or cables that gains mechanical advantages for low mass.
[5][6] Bridges, band stand shells,[7][citation needed], geodesic domes, aircraft wing construction,[8] temporary shop and hospitality.
However, enclosed-air structures perhaps made of tensairity beams in a tensegrity format holding an enveloping skin could be heated by solar energy and interior activity and then become lighter than air, like hot-air balloons.
Buckminster Fuller designed floating cities (air-filled) so lightweight that they would be buoyant only by the effect of solar heat warming the air within to slightly less density than the surrounding air.