18 citations · 19 across the 2 of their papers we have counts for
2 papers
math.DG2012★ 1 cited
Geometric Characterizations of C1 Manifold in Euclidean Spaces by Tangent Cones
Francesco Bigolin, Gabriele H. Greco
A remarkable and elementary fact that a locally compact set F of Euclidean space is a smooth manifold if and only if the lower and upper paratangent cones to F coincide at every po…
math.DG2012★ 18 cited
Intrinsic Lipschitz graphs in Heisenberg groups and continuous solutions of a balance equation
Francesco Bigolin, Laura Caravenna, Francesco Serra Cassano
In this paper we provide a characterization of intrinsic Lipschitz graphs in the sub-Riemannian Heisenberg groups in terms of their distributional gradients. Moreover, we prove the…