Unextendable Intrinsic Lipschitz Curves:
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Publication:6072114
DOI10.2422/2036-2145.202107_017arXiv2105.13873OpenAlexW3169721930MaRDI QIDQ6072114
Gioacchino Antonelli, Andrea Merlo
Publication date: 29 November 2023
Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2105.13873
Lipschitz (Hölder) classes (26A16) 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)
Cites Work
- Unnamed Item
- Regularity of sets with constant horizontal normal in the Engel group
- Lusin approximation and horizontal curves in Carnot groups
- Extensions of Lipschitz maps into Banach spaces
- Differentiability of intrinsic Lipschitz functions within Heisenberg groups
- Unrectifiability and rigidity in stratified groups
- Rectifiability and Lipschitz extensions into the Heisenberg group
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- On the structure of finite perimeter sets in step 2 Carnot groups
- Rectifiable sets in metric and Banach spaces
- A primer on Carnot groups: homogenous groups, Carnot-Carathéodory spaces, and regularity of their isometries
- Geometric measure theory.
- Sets with constant normal in Carnot groups: properties and examples
- Extensions and corona decompositions of low-dimensional intrinsic Lipschitz graphs in Heisenberg groups
- On rectifiable measures in Carnot groups: Marstrand-Mattila rectifiability criterion
- On rectifiable measures in Carnot groups: existence of density
- Foliated corona decompositions
- Lipschitz extensions into jet space Carnot groups
- Intrinsic Lipschitz graphs within Carnot groups
- On rectifiable measures in Carnot groups: representation
- Lipschitz Non-extension Theorems into Jet Space Carnot Groups
- Rectifiable Metric Spaces: Local Structure and Regularity of the Hausdorff Measure
- Families of diffeomorphic sub-Laplacians and free Carnot groups
- Intrinsically Lipschitz functions with normal target in Carnot groups
- Lipschitz graphs and currents in Heisenberg groups
- A rectifiability result for finite-perimeter sets in Carnot groups
- Intrinsic Lipschitz Graphs and Vertical β-Numbers in the Heisenberg Group
- Rectifiability and perimeter in the Heisenberg group
- Contact equations, Lipschitz extensions and isoperimetric inequalities
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