A minimal Clifford hypersurface in the unit sphere
is a product
where ,
,
and the two factors occupy orthogonal Euclidean coordinate subspaces.
The displayed radii place the product in the unit
sphere and make its mean curvature vanish.
Its volume is
where
denotes the volume of the unit
-sphere. For
, this is the Clifford torus
in
,
with both radii
and area
. The minimum of these product
volumes is the proposed threshold in the Solomon-Yau
least-volume conjecture.