Regularity Properties of H-convex Sets
نویسندگان
چکیده
We study the firstand second-order regularity properties of the boundary of H-convex sets in the setting of a real vector space endowed with a suitable group structure: our starting point is indeed a step two Carnot group. We prove that, locally, the noncharacteristic part of the boundary has the intrinsic cone property and that it is foliated by intrinsic Lipschitz continous curves that are twice differentiable almost everywhere.
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