Horizontally affine functions on step-2 Carnot algebras
From MaRDI portal
Publication:6077307
DOI10.1007/s12220-023-01360-4arXiv2004.08129OpenAlexW3173235591MaRDI QIDQ6077307
Séverine Rigot, Daniele Morbidelli, Enrico Le Donne
Publication date: 17 October 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2004.08129
Nilpotent groups (20F18) Sub-Riemannian geometry (53C17) Exterior algebra, Grassmann algebras (15A75)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Regularity of sets with constant horizontal normal in the Engel group
- Compression bounds for Lipschitz maps from the Heisenberg group to \(L_{1}\)
- Metric differentiation, monotonicity and maps to \(L^{1}\)
- The pullback equation for differential forms
- Vertical perimeter versus horizontal perimeter
- A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries
- 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
- On the inner cone property for convex sets in two-step Carnot groups, with applications to monotone sets
- First-order regularity of convex functions on Carnot groups
- Precisely monotone sets in step-2 rank-3 Carnot algebras
- Divisibility in Grassmann algebra
- Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group
- Fundamental Solutions for a Class of Hypoelliptic PDE Generated by Composition of Quadratic Forms
- On I-null Lie algebras
This page was built for publication: Horizontally affine functions on step-2 Carnot algebras