Given a smooth surface S in the Heisenberg group, we compute the Hessian of the function measuring the Carnot-Charathéodory distance from S in term of the Mean Curvature of S and of "an imaginary curvature" which was introduced in: Metric normal and distance function in the Heisenberg group", MATHEMATISCHE ZEITSCHRIFT. vol. 256, pp. 661 - 684, in order to find the geodesics which are metrically normal to S. Explicit formulae are given when S is a plane or the metric sphere.
The Hessian of the distance from a surface in the Heisenberg group / N. Arcozzi; F. Ferrari. - In: ANNALES ACADEMIAE SCIENTIARUM FENNICAE. MATHEMATICA. - ISSN 1239-629X. - STAMPA. - 33:(2008), pp. 35-63.
The Hessian of the distance from a surface in the Heisenberg group
ARCOZZI, NICOLA;FERRARI, FAUSTO
2008
Abstract
Given a smooth surface S in the Heisenberg group, we compute the Hessian of the function measuring the Carnot-Charathéodory distance from S in term of the Mean Curvature of S and of "an imaginary curvature" which was introduced in: Metric normal and distance function in the Heisenberg group", MATHEMATISCHE ZEITSCHRIFT. vol. 256, pp. 661 - 684, in order to find the geodesics which are metrically normal to S. Explicit formulae are given when S is a plane or the metric sphere.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
