A theoretical wind, occurring when the pressure gradient force equals the opposing Coriolis force (assuming straight/nearly straight isobars; when the isobars are strongly curved, the effect of centrifugal force should be added). The net result is a wind blowing parallel to the isobars. Except in low latitudes, where the Coriolis force is minimal, the actual wind has the same direction as the geostrophic wind. See Danard (1989) Monthly Weather Rev. 117, 6 on calculating the surface geostrophic wind in a local area.
Supergeostrophic flow describes winds faster than the expected geostrophic wind, and occurs at a jet entry; see Cunningham and Keyser (1999) Qly. J. R. Meteorol. Soc. 125. Subgeostrophic flow describes winds slower than the expected geostrophic wind, occurring when air rotates counterclockwise around a low.