A stationary integral varifold is an integral varifold whose first variation of volume vanishes for every compactly
supported smooth ambient vector field. For an
-dimensional
varifold in an open subset 
, the condition is
 |
where 
is the trace of the derivative restricted to the plane 
. A regular point of its support
has a neighborhood where the entire support is one smooth
embedded minimal submanifold and the varifold
has constant positive
integer multiplicity. The singular set is the complement
of these regular points in the support.
