An equiregular distribution is a smooth distribution for which the dimension of each successive span of iterated Lie
brackets is constant over the manifold. For a bracket-generating distribution ,
write
for the span of brackets of length at most
at
. Equiregularity means that the growth vector
is independent of
(Wang and Zelenko 2026).
Wang and Zelenko (2026) constructed an equiregular rank-two example with growth vector
on a manifold diffeomorphic to
for which the sub-Riemannian
Sard conjecture fails.