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Lesson 14: Length structures for Carnot-Carathéodory metrics
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14th lesson of the course on subRiemannian geometry, offered in Spring 2021.
In Carnot-Carathéodory spaces horizontal curves are precisely those curves with finite length, and for them the lengths coincides with the Finsler length.
Existence of geodesic curves on boundedly compact Carnot-Carathéodory spaces.
The playlist of the course:
More info about the course:
In Carnot-Carathéodory spaces horizontal curves are precisely those curves with finite length, and for them the lengths coincides with the Finsler length.
Existence of geodesic curves on boundedly compact Carnot-Carathéodory spaces.
The playlist of the course:
More info about the course: