The airs above the ground or school jumps are a series of higher-level, Haute ecole, classical dressage movements in which the horse leaves the ground. They include the capriole, the courbette, the mezair, the croupade and the levade. None are typically seen in modern competitive dressage. They are performed by horses of various riding academies such as the Spanish Riding School in Vienna and the Cadre Noir in Saumur, and may be seen in other dressage performances. The levade and courbette are a particular feature of the Doma Menorquina, the riding tradition of the island of Menorca. Horses such as the Andalusian, Lusitano, Lipizzan and Menorquín are the breeds most often trained to perform the airs today, in part due to their powerfully conformed hindquarters, which allow them the strength to perform these difficult movements. There were originally seven airs, many of which were used to build into the movements performed today.

There is a popular conception that these movements were originally taught to horses for military purposes, and indeed both the Spanish Riding School and the Cadre Noir are military foundations. However, while agility was necessary on the battlefield, most of the airs as performed today would have exposed the vulnerable underbelly of the horse to the weapons of foot soldiers. It is therefore more likely that the airs were exercises to develop the military horse and rider, rather than to be employed in combat.

Horses are usually taught each air on the long rein without a rider, which is less strenuous for the animal. However, each movement is meant to eventually be performed under a rider.