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

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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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Analysis of PDEs, Metric Geometry, 49Q15; 53C17; 53C22

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http://salesiana.dossiersoluciones.com/handle/123456789/117922

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610367
 http://arxiv.org/abs/math/0610367

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arXiv