A wheel rim has spaced indentations in the rim to remove material from the rim and decrease wheel weight. The indentations may be elongated grooves, which are aligned with the axis of the wheel. The grooves are evenly spaced circumferentially about the wheel. Each groove's cross-section is an arc of a circle. The grooves extend into the rim more than one half of the rim's nominal thickness. The radius of the circle that form the cross-section is much larger than the groove's depth so that the edges of the grooves do not meet the rim's surface at a sharp angle. This intersection minimizes stress. The grooves may be in the rim's an inner or outer surfaces or in both surfaces. The application also discloses other configurations for the indentations.