Marco Di Marco

activity

20242026

most citedSubmanifolds with boundary and Stokes' Theorem in Heisenberg groups

1 citations · 1 across the 7 of their papers we have counts for

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4 papers · 1 filter

math.FA2025

Intrinsic perimeter, compactness and Poincaré inequality for SBV functions in Carnot-Carathéodory spaces

Marco Di Marco

By introducing an intrinsic perimeter measure for intrinsic countably rectifiable sets, we prove a compactness result and a Poincaré inequality for special functions with bounded v…

math.DG2025

Submanifolds with boundary in sub-Riemannian Heisenberg Groups

Marco Di Marco, Davide Vittone

We discuss the notion of submanifolds with boundary with intrinsic $C^{1}$ regularity in sub-Riemannian Heisenberg groups and we provide some examples. Eventually, we present a Stoke…

math.OC2025

A note on the diameter of small sub-Riemannian balls

Marco Di Marco, Gianluca Somma, Davide Vittone

We observe that the diameter of small (in a locally uniform sense) balls in $C^{1, 1}$ sub-Riemannian manifolds equals twice the radius. We also prove that, when the regularity of t…

math.FA2025

SBV functions in Carnot-Carathéodory spaces

Marco Di Marco, Sebastiano Don, Davide Vittone

We introduce the space SBV $_{X}$ of special functions with bounded $X$ -variation in Carnot-Carathéodory spaces and study its main properties. Our main outcome is an approximation res…