  A time-flat condition on spacelike 2-surfaces in spacetime is considered
here. This condition is analogous to constant torsion condition for curves in
three dimensional space and has been studied in [2, 4, 5, 12, 13]. In
particular, any 2-surface in a static slice of a static spacetime is time-flat.
In this article, we address the question in the title and prove several local
and global rigidity theorems for such surfaces in the Minkowski spacetime.
