On the role of abnormal minimizers in sub-Riemannian geometry

Details On the role of abnormal minimizers in sub-Riemannian geometry On the role of abnormal minimizers in sub-Riemannian geometry

2006-07-18

arxiv.org/abs/math/0607426v1

Annales de la Facult\'{e} des Sciences de Toulouse Math\'{e}matiques 6 (10) 3 (2001) 405--491

Mathematics

Optimization and Control

Scientific paper

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^\infty $ or $C^\omega)$ 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.

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