Sets with constant normal in Carnot groups: properties and examples
Sets with constant normal in Carnot groups: properties and examples
We analyze subsets of Carnot groups that have intrinsic constant normal, as they appear in the blowup study of sets that have finite subRiemannian perimeter. The purpose of this paper is threefold. First, we prove some mild regularity and structural results in arbitrary Carnot groups. Namely, we show that for …