Results 41 to 50 of about 12,503,673 (230)
Isodiametric inequality in Carnot groups
, 2010 The classical isodiametric inequality in the Euclidean space says that balls maximize the volume among all sets with a given diameter. We consider in this paper the case of Carnot groups.
Rigot, Severine
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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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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.
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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
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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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
Advanced Science, EarlyView.Combining microstructural engineering with Cu3SbSe3 alloying significantly improves the performance of Bi2Te3‑based thermoelectric materials, yielding a high zT of ≈1.45 (average zT ≈1.3 over 303–503 K), excellent mechanical robustness (Vickers hardness of 96 Hv and compressive strength of 187 MPa), and an impressive conversion efficiency of ≈6.9% at a
Ruiheng Li +11 more
wiley +1 more source
The regularity problem for geodesics of the control distance
Bruno Pini Mathematical Analysis Seminar, 2018 In this survey, we present some recent results on the problem about the regularity of length-minimizing curves in sub-Riemannian geometry. We also sketch the possible application of some ideas coming from Geometric Measure Theory.
Roberto Monti
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Yamabe-type equations on Carnot groups
, 2016 This article is concerned with a class of elliptic equations on Carnot groups depending of one real positive parameter and involving a critical nonlinearity.
Bisci, Giovanni Molica +1 more
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Integral Representation of Local Left–Invariant Functionals in Carnot Groups
Analysis and Geometry in Metric Spaces, 2019 The aim of this note is to prove a representation theorem for left–invariant functionals in Carnot groups. As a direct consequence, we can also provide a Г-convergence result for a smaller class of functionals.
Maione A., Vecchi E.
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