A sleep apparatus, such as a mattress for example, is provided in one embodiment. The apparatus comprises a head support surface sized to support a person's head, and a torso support surface sized to support a person's torso. The head support surface is generally laterally sloped moving from the first side toward the second side, and the torso support surface is generally laterally sloped moving from the first side toward the second side. In some embodiments, the lateral slope of the head support surface is at least about 15°, the lateral slope of the head support surface is greater than the lateral slope of the torso support surface, and/or, the sleep apparatus slopes in the longitudinal direction as well.