On the role of abnormal minimizers in sub-Riemannian geometry
Abstract
Consider a sub-Riemannian geometry
(U,D,g)
where
U
is a neighborhood at 0 in $\R^n,$
D
is a rank-2 smooth
(
C
∞
or
C
ω
)
distribution and
g
is a smooth metric on
D
. The objective of this article is to explain the role of abnormal minimizers in SR-geometry. It is based on the analysis of the Martinet SR-geometry.