Geodesic
$cc$-Homogeneous Cone Condition and $cc$-Balls on Heizenberg Groups
Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 4, pp. 8-20 Cet article a éte moissonné depuis la source Math-Net.Ru

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We studied properties of extremals of variational problem about the shortest paths of Carnot–Carathéodory metric (the $cc$-shortest paths) on Heizenberg groups. Using the establishing results we proved that $cc$-balls are satisfying the $cc$-homogeneous cone property.
Keywords: extremals, shortest path, Pontryagin maximum principle, Heizenberg groups.
Mots-clés : Carnot–Carathéodory metric 
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     title = {$cc${-Homogeneous} {Cone} {Condition} and $cc${-Balls} on {Heizenberg} {Groups}},
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A. V. Belykh; A. V. Greshnov. $cc$-Homogeneous Cone Condition and $cc$-Balls on Heizenberg Groups. Sibirskij žurnal čistoj i prikladnoj matematiki, Tome 11 (2011) no. 4, pp. 8-20. http://geodesic.mathdoc.fr/item/VNGU_2011_11_4_a1/

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