Journal of Convex Analysis 21 (2014), No. 3, 887--899
Copyright Heldermann Verlag 2014
Tangency, Paratangency and Four-Cones Coincidence Theorem in Carnot Groups
Francesco Bigolin
Dipartimento di Matematica di Trento, via Sommarive 14, 38100 Povo (Trento), Italy
bigolin@science.unitn.it
Artem Kozhevnikov
Université Paris Sud 11, bat. 425, 91405 Orsay Cedex, France
artem.kozhevnikov1@u-psud.fr
We obtain an analogue of the classical "Four-Cones Coincidence Theorem" in Carnot groups, i.e we characterize intrinsic sub-manifolds by the coincidence of its lower and upper paratangent (and tangent, as well) cones.
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