We introduce the notion of ”metric normal” to a surface in the Heisenberg group H, which extends in a metric way the notion of segment normal to a surface in Euclidean space. We use this notion to prove regularity results for the function dS measuring the Carnot distance from a surface S in H. An explicit expression for the horizontal Hessian of dS and of the Carnot distance itself is computed. (Received September 11, 2006).

The Hessian of the distance function in the Heisenberg group / N. Arcozzi; F. Ferrari. - ELETTRONICO. - (2006). (Intervento presentato al convegno 2006 Fall Southeastern Section Meeting of the AMS Meeting #1022 tenutosi a Fayetteville, AR, nel November 3-4, 2006 (Friday - Saturday)).

The Hessian of the distance function in the Heisenberg group.

ARCOZZI, NICOLA;FERRARI, FAUSTO
2006

Abstract

We introduce the notion of ”metric normal” to a surface in the Heisenberg group H, which extends in a metric way the notion of segment normal to a surface in Euclidean space. We use this notion to prove regularity results for the function dS measuring the Carnot distance from a surface S in H. An explicit expression for the horizontal Hessian of dS and of the Carnot distance itself is computed. (Received September 11, 2006).
2006
1022nd AMS Meeting - University of Arkansas -Fayetteville, Arkansas: Program
The Hessian of the distance function in the Heisenberg group / N. Arcozzi; F. Ferrari. - ELETTRONICO. - (2006). (Intervento presentato al convegno 2006 Fall Southeastern Section Meeting of the AMS Meeting #1022 tenutosi a Fayetteville, AR, nel November 3-4, 2006 (Friday - Saturday)).
N. Arcozzi; F. Ferrari
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11585/40722
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