We extend to the Heisenberg group the notion of "geodesic normal to a surface" and we use this to prove regularity results for the function measuring the sub-Riemannian distance from a surface.
N. Arcozzi, F. Ferrari (2007). Metric normal and distance function in the Heisenberg group. MATHEMATISCHE ZEITSCHRIFT, 256, 661-684 [10.1007/s00209-006-0098-8].
Metric normal and distance function in the Heisenberg group
ARCOZZI, NICOLA;FERRARI, FAUSTO
2007
Abstract
We extend to the Heisenberg group the notion of "geodesic normal to a surface" and we use this to prove regularity results for the function measuring the sub-Riemannian distance from a surface.File in questo prodotto:
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