American shot 45.7 percent from the floor and held Manhattan to just 30.5 percent shooting. The Eagles were 8-of-17 from 3-point range to just 5-of-20 for the Jaspers.
Carr and Gilmore each scored nine points in helping American to a 32-20 lead at halftime. Carr's 3-pointer extended it to 44-30 with 14:13 left in the game.
Brandon Adams converted a three-point play to cut the margin to 47-41 with 10:07 to go, but the Jaspers came no closer.