  The concept of hyperuniformity has been introduced by Torquato and Stillinger
in 2003 as a notion to detect structural behaviour intermediate between
amorphous disorder and crystalline order. The present paper studies a
generalisation of this concept to the unit sphere. It is shown that several
well studied determinantal point processes are hyperuniform, one recently
introduced process, the projective ensemble, is shown not to be hyperuniform.
