Lipschitz Carnot-Carathéodory structures and their limits
DOI10.1007/s10883-022-09613-1arXiv2111.06789OpenAlexW3212194394MaRDI QIDQ6054025
Sebastiano Nicolussi Golo, Enrico Le Donne, Gioacchino Antonelli
Publication date: 24 October 2023
Published in: Journal of Dynamical and Control Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.06789
Nonsmooth analysis (49J52) Lipschitz (Hölder) classes (26A16) Length, area, volume, other geometric measure theory (28A75) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Global differential geometry of Finsler spaces and generalizations (areal metrics) (53C60) Sub-Riemannian geometry (53C17)
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Cites Work
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- Lipschitz and path isometric embeddings of metric spaces
- On Carnot-Caratheodory metrics
- An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem
- Functional analysis, Sobolev spaces and partial differential equations
- Hypoelliptic differential operators and nilpotent groups
- The tangent space in sub-Riemannian geometry
- Control theory from the geometric viewpoint.
- Heat and entropy flows in Carnot groups
- Diameter and Laplace eigenvalue estimates for left-invariant metrics on compact Lie groups
- Regularity properties of spheres in homogeneous groups
- A compactness result for BV functions in metric spaces
- Nonholonomic tangent spaces: intrinsic construction and rigid dimensions
- On Tangent Cones to Length Minimizers in Carnot--Carathéodory Spaces
- Croissance des boules et des géodésiques fermées dans les nilvariétés
- A Comprehensive Introduction to Sub-Riemannian Geometry
- Control of Nonholonomic Systems: from Sub-Riemannian Geometry to Motion Planning
- Universal infinitesimal Hilbertianity of sub-Riemannian manifolds
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