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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Francesco Bigolin

Dipartimento di Matematica di Trento, via Sommarive 14, 38100 Povo (Trento), Italy

bigolin@science.unitn.it

F. Bigolin, A. Kozhevnikov. “Tangency, Paratangency and Four-Cones Coincidence Theorem in Carnot Groups.” Journal of Convex Analysis 21 (2014), No. 3, 887–899.