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Main research interests:
Sub-Riemannian Geometry, Geometric Measure Theory, Calculus of Variations; in more detail: submanifolds and currents in Carnot groups, BV functions in Carnot-Carathéodory spaces, differentiability of Lipschitz maps in metric measure spaces, relationship between contact and sub-Riemannian geometry.
Published and accepted papers:
Marco Di Marco, Sebastiano Don, Davide Vittone, SBV functions in Carnot-Carathéodory spaces, 2025. To appear on Nonlinear Analysis. Preprint available online at https://arxiv.org/abs/2503.04285
Marco Di Marco, Andrea Pinamonti, Davide Vittone, Kilian Zambanini, Stepanov Differentiability Theorem for intrinsic graphs in Heisenberg groups. Adv. Calc. Var. 18 (2025), no. 3, 963-978, https://doi.org/10.1515/acv-2024-0118. Preprint available online at https://arxiv.org/abs/2410.01526.
Marco Di Marco, Antoine Julia, Sebastiano Nicolussi Golo, Davide Vittone, Submanifolds with boundary and Stokes' Theorem in Heisenberg groups. Trans. Amer. Math. Soc. 378 (2025), no. 7, 4955-4990, https://doi.org/10.1090/tran/9410. Preprint available online at https://arxiv.org/abs/2403.1867
Preprints:
Marco Di Marco, Gianluca Somma, Davide Vittone, A note on the diameter of small sub-Riemannian balls, 2025, submitted. Preprint available online at https://arxiv.org/abs/2505.02790
Proceedings:
Marco Di Marco, Davide Vittone, Submanifolds with boundary in sub-Riemannian Heisenberg Groups, 2025, submitted to to the series "Actes et Congrès" of the "Société Mathématique de France". Preprint available online at https://arxiv.org/abs/2508.15634
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