These terms do not seem to have a uniformly accepted set of definitions, so you would have to ask the individual surgeon to explain the procedure he or she is proposing. For many surgeons, these terms, as well as "belt lipectomy" and some others refer to removal of excess tissue from the abdomen, back and/or buttocks and outer thighs when they use these expressions. The incision would go all around the torso, as does a belt.All the best.
A Circular tummy tuck and lower body lift can be very similar. It involves a incision completely around the body front and back. Exccess skin and fat is removed and the body skin is lifted and tightened.