The metric normal is an useful tool to study geometric invariants of surfaces. In particular we can compute the horizontal Hessian of the Carnot-Charath´eodory signed distance from a non-characteristic smooth surface in the Heisenberg group. Moreover, as a byproduct, we obtain some new invariant objects associated with the notion of curvature of smooth non-characteristic surfaces in the Heisenberg group. (Received September 06, 2006) 1
F. Ferrari (2006). Metric normal and curvatures in the Heisenberg group.. FAYETTEVILLE AR : AMS.
Metric normal and curvatures in the Heisenberg group.
FERRARI, FAUSTO
2006
Abstract
The metric normal is an useful tool to study geometric invariants of surfaces. In particular we can compute the horizontal Hessian of the Carnot-Charath´eodory signed distance from a non-characteristic smooth surface in the Heisenberg group. Moreover, as a byproduct, we obtain some new invariant objects associated with the notion of curvature of smooth non-characteristic surfaces in the Heisenberg group. (Received September 06, 2006) 1File in questo prodotto:
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