Results 41 to 50 of about 14,687 (238)
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
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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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
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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Ricci curvatures in Carnot groups
Mathematical Control & Related Fields, 2013 29 pages, 1 ...
openaire +3 more sources
Bio‐Friendly Artificial Muscles Based on Carbon Nanotube Yarns and Eutectogel Derivatives
Advanced Functional Materials, EarlyView.Solid‐state artificial muscles based on coiled commercial carbon nanotube yarns coated with eutectogel derivatives exhibit unipolar actuation through selective ion intercalation. Combining polyanionic and polycationic gels enables enhanced contractile stroke and high energy density.
Gabriela Ananieva +6 more
wiley +1 more source
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
, 2022 Jet spaces on $\mathbb R^n$ have been shown to have a canonical structure of stratified Lie groups (also known as Carnot groups). We construct jet spaces over stratified Lie groups adapted to horizontal differentiation and show that these jet spaces are themselves stratified Lie groups.
Golo, Sebastiano Nicolussi +1 more
openaire +2 more sources
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