Measure contraction properties of Carnot groups
From MaRDI portal
Publication:2628962
DOI10.1007/s00526-016-1002-yzbMath1352.53026arXiv1510.05960OpenAlexW3098495011MaRDI QIDQ2628962
Publication date: 19 July 2016
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1510.05960
Metric spaces, metrizability (54E35) Geodesics in global differential geometry (53C22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Sub-Riemannian geometry (53C17) PDEs on Heisenberg groups, Lie groups, Carnot groups, etc. (35R03)
Related Items (23)
The isometry group of an \(\mathsf{RCD}^*\) space is Lie ⋮ New formulas for the Laplacian of distance functions and applications ⋮ Sub-Riemannian curvature of Carnot groups with rank-two distributions ⋮ Bakry-Émery curvature and model spaces in sub-Riemannian geometry ⋮ On the cut locus of free, step two Carnot groups ⋮ Subdifferentials and minimizing Sard conjecture in sub-Riemannian geometry ⋮ Regularity properties of spheres in homogeneous groups ⋮ Almost-Riemannian manifolds do not satisfy the curvature-dimension condition ⋮ Characterizing spaces satisfying Poincaré inequalities and applications to differentiability ⋮ On complex H-type Lie algebras ⋮ Sub-Riemannian interpolation inequalities ⋮ Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling ⋮ Geometric inequalities on Heisenberg groups ⋮ Sharp Poincaré inequalities under Measure Contraction Property ⋮ Sub-Riemannian curvature in contact geometry ⋮ Poincaré's lemma on some non-Euclidean structures ⋮ Sub-Riemannian structures do not satisfy Riemannian Brunn-Minkowski inequalities ⋮ Sub-Laplacian comparison theorems on totally geodesic Riemannian foliations ⋮ On the topology and the boundary of \(N\)-dimensional \(\mathsf{RCD}\,(K,N)\) spaces ⋮ Measure contraction properties for two-step analytic sub-Riemannian structures and Lipschitz Carnot groups ⋮ Sharp measure contraction property for generalized H-type Carnot groups ⋮ Jacobian determinant inequality on corank 1 Carnot groups with applications ⋮ Generalized Bakry-Émery curvature condition and equivalent entropic inequalities in groups
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Sard property for the endpoint map on some Carnot groups
- Ricci curvatures in Carnot groups
- Hausdorff volume in non equiregular sub-Riemannian manifolds
- Sub-Riemannian curvature in contact geometry
- On the Hausdorff volume in sub-Riemannian geometry
- On Carnot-Caratheodory metrics
- Morse-Sard type results in sub-Riemannian geometry
- Control theory from the geometric viewpoint.
- Ricci curvature for metric-measure spaces via optimal transport
- Conjugate points in nilpotent sub-Riemannian problem on the Engel group
- On the measure contraction property of metric measure spaces
- On the geometry of metric measure spaces. I
- On the geometry of metric measure spaces. II
- Geometric Inequalities and Generalized Ricci Bounds in the Heisenberg Group
- Regularity properties of spheres in homogeneous groups
- A formula for Popp's volume in sub-Riemannian geometry
- Subriemannian geodesics of Carnot groups of step 3
- Sub-Riemannian Geometry and Optimal Transport
- Metric structures for Riemannian and non-Riemannian spaces. Transl. from the French by Sean Michael Bates. With appendices by M. Katz, P. Pansu, and S. Semmes. Edited by J. LaFontaine and P. Pansu
This page was built for publication: Measure contraction properties of Carnot groups