Geodesic
Tangency, Paratangency and Four-Cones Coincidence Theorem in Carnot Groups
Journal of convex analysis, Tome 21 (2014) no. 3, pp. 887-899
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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. 
@article{JCA_2014_21_3_JCA_2014_21_3_a16,
     author = {F. Bigolin and A. Kozhevnikov},
     title = {Tangency, {Paratangency} and {Four-Cones} {Coincidence} {Theorem} in {Carnot} {Groups}},
     journal = {Journal of convex analysis},
     pages = {887--899},
     year = {2014},
     volume = {21},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JCA_2014_21_3_JCA_2014_21_3_a16/}
}
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F. Bigolin; A. Kozhevnikov. Tangency, Paratangency and Four-Cones Coincidence Theorem in Carnot Groups. Journal of convex analysis, Tome 21 (2014) no. 3, pp. 887-899. http://geodesic.mathdoc.fr/item/JCA_2014_21_3_JCA_2014_21_3_a16/