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arxiv: math/0610367 · v1 · submitted 2006-10-11 · 🧮 math.AP · math.MG

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

classification 🧮 math.AP math.MG
keywords hessiandistancesurfacecarnot-charatheodorycomputegroupheisenberghorizontal
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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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