Characterizations of uniformly differentiable co-horizontal intrinsic graphs in Carnot groups

DOI10.5802/aif.3660MaRDI QIDQ6621687

Daniela Di Donato, Enrico Le Donne, Gioacchino Antonelli, Sebastiano Don

Publication date: 18 October 2024

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

zbMATH Keywords

area formulaCarnot groupsintrinsic graphsbroad solutionsco-horizontal surfacesintrinsically \(C^1\) surfacesintrinsically differentiable functionslittle Hölder functions

Mathematics Subject Classification ID

Lipschitz (Hölder) classes (26A16) Regularity of solutions in optimal control (49N60) Geometric measure and integration theory, integral and normal currents in optimization (49Q15) Length, area, volume, other geometric measure theory (28A75) Nilpotent and solvable Lie groups (22E25) Sub-Riemannian geometry (53C17)

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