Golf club head or other ball striking device having impact-influencing body features

A ball striking device, such as a golf club head, has a face with a striking surface configured for striking a ball and a channel extending across a portion of the sole. The channel may be recessed from adjacent surfaces of the sole and have a depth of recession from the adjacent surfaces of the sole, wherein the channel comprises a center portion extending across a center of the sole, a heel portion extending from a heel end of the center portion toward the heel, and a toe portion extending from a toe end of the center portion toward the toe, wherein the width and the depth of the center portion of the channel are substantially constant, and wherein the depth of the channel is greater at the heel and toe portions than at the center portion.