Carrier's constraint is the observation that air-breathing vertebrates with two lungs that flex their bodies sideways during locomotion find it difficult to move and breathe at the same time, because the sideways flexing expands one lung and compresses the other, shunting stale air from lung to lung instead of expelling it completely to make room for fresh air.
It was named by English paleontologist Richard Cowen for David R. Carrier, who wrote his observations on the problem in 1987.