Infinite geodesics in Carnot groups naturally arise as tangents to sub-Riemannian geodesics. This permits a study of the geodesic …

The regularity of solutions to Sub-Riemannian optimal control problems is a long standing open problem, of which relatively little is …

Classically an isometric embedding between normed spaces must be affine if the norm on the target is strictly convex. The topic of this …

The regularity of length-minimizing curves on sub-Riemannian manifolds is a mystery. In this talk, I will discuss the metric blowup …

A differentiable function is infinitesimally linear. This is a qualitative notion as it is only concerned with the existence of limits …

The regularity of length-minimizing curves on sub-Riemannian manifolds is an open problem, of which quite little is known compared to …

The regularity of length-minimizing curves on subriemannian manifolds is an open problem, of which quite little is known outside of …

The tangent cone of a curve contains all the possible tangents of the curve at some fixed point. The differentiability problem of …

A fiber bundle is a generalization of a product space, where one of the projections is sacrificed in order to accommodate a more …

The regularity of length-minimizing curves on subriemannian manifolds is an open problem, of which little is known outside of some …

The regularity of length-minimizing curves on subriemannian manifolds is an open problem, of which little is known outside of some …

In Euclidean geometry length-minimizing curves are straight lines. In Riemannian geometry, length-minimizers need no longer be lines in …

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