In a four dimensional sub-Riemannian structure, we study a specific family of abnormal extremals and we show that they are not length minimizing, answering in the negative to a question that was recently asked. We extend the result to a class of 4-dimensional sub-Riemannian manifolds of step 5.
A family of nonminimizing abnormal curves
MONTI, ROBERTO
2014
Abstract
In a four dimensional sub-Riemannian structure, we study a specific family of abnormal extremals and we show that they are not length minimizing, answering in the negative to a question that was recently asked. We extend the result to a class of 4-dimensional sub-Riemannian manifolds of step 5.
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