Precisely monotone sets in step-2 rank-3 Carnot algebras
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Publication:2683808
DOI10.1007/s00209-023-03217-6OpenAlexW3177148407MaRDI QIDQ2683808
Daniele Morbidelli, Séverine Rigot
Publication date: 15 February 2023
Published in: Mathematische Zeitschrift (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2106.13490
Nilpotent groups (20F18) Analysis on other specific Lie groups (43A80) Sub-Riemannian geometry (53C17) Exterior algebra, Grassmann algebras (15A75)
Related Items (2)
Horizontally affine functions on step-2 Carnot algebras ⋮ Monotone sets and local minimizers for the perimeter in Carnot groups
Cites Work
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- Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\)
- Regularity of sets with constant intrinsic normal in a class of Carnot groups
- Metric differentiation, monotonicity and maps to \(L^{1}\)
- Regularity properties of \(H\)-convex sets
- On the structure of finite perimeter sets in step 2 Carnot groups
- Vertical perimeter versus horizontal perimeter
- Sets with constant normal in Carnot groups: properties and examples
- Polynomial and horizontally polynomial functions on Lie groups
- Area-minimizing ruled graphs and the Bernstein problem in the Heisenberg group
- Foliated corona decompositions
- On the inner cone property for convex sets in two-step Carnot groups, with applications to monotone sets
- Rectifiability of sets of finite perimeter in Carnot groups: existence of a tangent hyperplane
- First-order regularity of convex functions on Carnot groups
- Intrinsic Lipschitz graphs within Carnot groups
- Multiexponential maps in Carnot groups with applications to convexity and differentiability
- Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group
- On the ${\mathbb H}$-cone-functions for H-convex sets
- Rectifiability and perimeter in the Heisenberg group
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