Multiexponential maps in Carnot groups with applications to convexity and differentiability
From MaRDI portal
Publication:2662179
DOI10.1007/s10231-020-00994-3zbMath1478.53061arXiv1908.01124OpenAlexW3037812856MaRDI QIDQ2662179
Daniele Morbidelli, Annamaria Montanari
Publication date: 9 April 2021
Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1908.01124
Existence theories for optimal control problems involving ordinary differential equations (49J15) Sub-Riemannian geometry (53C17)
Related Items
Monotone sets and local minimizers for the perimeter in Carnot groups ⋮ Horizontally quasiconvex envelope in the Heisenberg group ⋮ Precisely monotone sets in step-2 rank-3 Carnot algebras
Cites Work
- Regularity of sets with constant horizontal normal in the Engel group
- Metric differentiation, monotonicity and maps to \(L^{1}\)
- Differentiability of intrinsic Lipschitz functions within Heisenberg groups
- Sets with finite \(\mathbb{H}\)-perimeter and controlled normal
- Regularity properties of \(H\)-convex sets
- On the lack of semiconcavity of the subRiemannian distance in a class of Carnot groups
- Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1
- Hypoellipticite analytique sur des groupes nilpotents de rang 2
- Rigidity of integral curves of rank 2 distributions
- On the structure of finite perimeter sets in step 2 Carnot groups
- Universal differentiability sets and maximal directional derivatives in Carnot groups
- Sub-Finsler geodesics on the Cartan group
- Structure of porous sets in Carnot groups
- On the inner cone property for convex sets in two-step Carnot groups, with applications to monotone sets
- Intrinsic Lipschitz graphs within Carnot groups
- The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations
- Stratified Lie Groups and Potential Theory for their Sub-Laplacians
- Exponential map in the generalized Dido problem
- Shortest paths for sub-Riemannian metrics on rank-two distributions
- A Comprehensive Introduction to Sub-Riemannian Geometry
- Cohomologie des algèbres de Lie nilpotentes. Application à l'étude de la variété des algèbres de Lie nilpotentes