The Solomon-Yau least-volume conjecture asserts that a closed connected smooth minimal hypersurface immersed in the unit sphere 
, with 
, that is not a totally
geodesic submanifold has volume at least
 |
The comparison examples are the minimal Clifford hypersurfaces. Volume is measured on the
domain of the immersion
with its induced metric, including covering multiplicities. For 
, the threshold is 
.
