A \(C^{m,\omega}\) Whitney extension theorem for horizontal curves in the Heisenberg group
From MaRDI portal
Publication:2698555
DOI10.1007/s12220-023-01233-wOpenAlexW4362553560WikidataQ122894261 ScholiaQ122894261MaRDI QIDQ2698555
Gareth Speight, Scott Zimmerman
Publication date: 24 April 2023
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2204.03544
Cites Work
- Unnamed Item
- Unnamed Item
- Lusin approximation for horizontal curves in step 2 Carnot groups
- Lusin approximation and horizontal curves in Carnot groups
- Whitney's extension problem for \(C^m\)
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- On the structure of finite perimeter sets in step 2 Carnot groups
- Universal differentiability sets and maximal directional derivatives in Carnot groups
- The Whitney extension theorem for \(C^1\), horizontal curves in the Heisenberg group
- On the Whitney extension property for continuously differentiable horizontal curves in sub-Riemannian manifolds
- A \(C^m\) Lusin approximation theorem for horizontal curves in the Heisenberg group
- Porosity and differentiability of Lipschitz maps from stratified groups to Banach homogeneous groups
- Universal differentiability sets in Carnot groups of arbitrarily high step
- Regular hypersurfaces, intrinsic perimeter and implicit function theorem in Carnot groups
- A sharp form of Whitney's extension theorem
- A measure zero universal differentiability set in the Heisenberg group
- Pliability, or the Whitney extension theorem for curves in Carnot groups
- \(C^m\) extension by linear operators
- A function not constant on a connected set of critical points
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Whitney’s extension problems and interpolation of data
- Differentiable functions
- Remainder Estimates in Taylor's Theorem
- A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group
- Rectifiability and perimeter in the Heisenberg group
- Whitney's extension theorem and the finiteness principle for curves in the Heisenberg group