The Hessian of the distance from a surface in the Heisenberg group

Mathematics – Analysis of PDEs

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Scientific paper

We compute the horizontal Hessian of the signed Carnot-Charatheodory distance
from a surface S in the Heisenberg group H. The expression for the Hessian is
in terms of the surface's intrinsic curvatures. As an application, we compute
the horizontal Hessian of the Carnot-Charatheodory distance from a point in H.

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