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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

Artem Kozhevnikov
Université Paris Sud 11, bat. 425, 91405 Orsay Cedex, France

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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