my suggestion would be to try a syringe with glue
poke the needle in and squirt some glue just a little do it multiple places
you will need some kind of support to press up on the ceiling fabric until the glue drys
a section of 1/8 plywood or luan, a couple of step ladders
and some of those reversible clamp/push long ratchet clamps used on wood furniture projects , between the ladders and the support sheet
and maybe place wax paper or alu foil between the support sheet and the fabric, if any glue seeps, it won't stick to the support and pull the fabric back down
could also use 4*4 wood support posts with bottle jacks under them
very little pressure would be needed to hold the support sheet
thats why i sugested ladders and wood clamps