Infinite geodesics in Carnot groups

Abstract

Infinite geodesics in Carnot groups naturally arise as tangents to sub-Riemannian geodesics. This permits a study of the geodesic regularity problem through study of the family of all infinite geodesics. In this talk, I will present some examples of interesting behavior and cover the known results on rigidity of infinite minimizers. This talk is based on joint work with Enrico Le Donne.

Date
Location
Paris, France
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Eero Hakavuori
Postdoc researcher