Results 51 to 60 of about 14,741 (241)
Quasisymmetric maps of boundaries of amenable hyperbolic groups [PDF]
, 2014 In this paper we show that if $Y=N \times \mathbb{Q}_m$ is a metric space where $N$ is a Carnot group endowed with the Carnot-Caratheodory metric then any quasisymmetric map of $Y$ is actually bilipschitz. The key observation is that $Y$ is the parabolic
Dymarz, Tullia
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Intrinsic regular surfaces in Carnot groups
Bruno Pini Mathematical Analysis SeminarA Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces.
Daniela Di Donato
doaj +1 more source
On the codimension of the abnormal set in step two Carnot groups [PDF]
, 2018 In this article we prove that the codimension of the abnormal set of the endpoint map for certain classes of Carnot groups of step 2 is at least three.
Ottazzi, Alessandro, Vittone, Davide
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Sard Property for the endpoint map on some Carnot groups [PDF]
, 2015 In Carnot-Caratheodory or sub-Riemannian geometry, one of the major open problems is whether the conclusions of Sard's theorem holds for the endpoint map, a canonical map from an infinite-dimensional path space to the underlying finite-dimensional ...
Donne, Enrico Le +4 more
core +3 more sources
Invertible Carnot Groups [PDF]
, 2016 We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the $J^2$-condition, thus characterizing a special case of inversion invariant bi-Lipschitz homogeneity.
Freeman, David M.
core
Ricci curvatures in Carnot groups
Mathematical Control & Related Fields, 2013 29 pages, 1 ...
openaire +3 more sources
Encoding Magnetic Anisotropies in Digital Light Processing 3D Printing
Advanced Functional Materials, EarlyView.A hybrid magnetic device—combining a coaxial coil within a nested Halbach array—is presented, integrated into a DLP 3D printer to enable spatially resolved magnetic field control. This system enables complex, multimodal responses by programming liquid crystal elastomer resins for magnetic and thermal actuation, and by inducing electrically conductive ...
Eléonore Aïdonidis +11 more
wiley +1 more source
A metric characterization of Carnot groups
, 2014 We give a short axiomatic introduction to Carnot groups and their subRiemannian and subFinsler geometry. We explain how such spaces can be metrically described as exactly those proper geodesic spaces that admit dilations and are isometrically ...
Donne, Enrico Le
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The Parabolic Infinite-Laplace Equation in Carnot groups [PDF]
, 2014 By employing a Carnot parabolic maximum principle, we show existence-uniqueness of viscosity solutions to a class of equations modeled on the parabolic infinite Laplace equation in Carnot groups.
Bieske, Thomas, Martin, Erin
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Advanced Materials Technologies, EarlyView.The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz +5 more
wiley +1 more source