Upper left panel: evolution of the surface equatorial velocity for our stellar models. No tidal interactions and planet engulfments are considered. The initial masses and rotations are indicated. The rectangle area indicated at the right bottom corner indicates the region that is zoomed on the upper right panel. Upper right panel: zoom on the RG branch phase for the same stellar models, as those shown on the upper left panel. Triangles indicate where the dredge-up occurs. Black full squares correspond to the sample of red giants observed by Carlberg et al. (2012). Lower left panel: evolution of the corotation radius (in au) for rotating stellar models with no tidal interactions during the RG branch phase. For the 2.5 M_⊙, the core He-burning phase is also shown. The rectangle area indicated at the left bottom corner indicates the region that is zoomed on the lower right panel. Lower right panel: same as the lower left panel, but the MS phase and the crossing of the Hertzsprung-Russel (HR) gap are shown.