Results 51 to 60 of about 5,405,878 (192)
On the Lie Algebra of polarizable Carnot groups [PDF]
Let \(G\) be a Carnot group equipped with a left-invariant sub-Riemannian metric, induced by an inner product \(\langle \cdot, \cdot \rangle\) on the first layer of its Lie algebra \(\mathfrak{g}\). The metric induces a family of \(p\)-sub-Laplacians \(\Delta_p\) on \(G\), where \(\Delta_2\) is the usual sub-Laplacian. Following [\textit{Z. M.
openaire +2 more sources
Access to Uncharted (Ethoxy)difluoromethylated‐Containing Tetrahydrofurans by Hydrogenation
A Pd/C‐catalyzed selective hydrogenation of (ethoxy)difluoromethylated‐containing tetrahydrofurans was achieved. Depending on the pressure of H2, a divergent process led to either cis CF2CO2Et‐containing tetrahydrofurans or valuable α,α‐difluoro‐β‐hydroxyesters, offering key fluorinated building blocks for drug discovery while keeping the CF2CO2Et ...
Thibaud Charvillat +7 more
wiley +1 more source
The regularity problem for geodesics of the control distance
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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ZnO Nanowires by Chemical Bath Deposition: A Review on Doping and Functional Devices
This review reports the most recent and well‐established state‐of‐the‐art and scientific challenges related to the doping of ZnO nanowires by chemical bath deposition, encompassing native point and hydrogen‐related defects, as well as extrinsic dopants.
Clément Lausecker +3 more
wiley +1 more source
This work presents a biofriendly carbon nanotube yarn artificial muscle operating either as an in‐air unipolar actuator or as a self‐powered ionotronic strain sensor. Using a non‐volatile eutectogel‐derived electrolyte, the system achieves up to 2.9% contraction and 0.5 mV/% strain sensing sensitivity.
Gabriela Ananieva +11 more
wiley +1 more source
Curvature exponent and geodesic dimension on Sard-regular Carnot groups
In this study, we characterize the geodesic dimension NGEO{N}_{{\rm{GEO}}} and give a new lower bound to the curvature exponent NCE{N}_{{\rm{CE}}} on Sard-regular Carnot groups.
Golo Sebastiano Nicolussi, Zhang Ye
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Functional properties of limits of Sobolev homeomorphisms with integrable distortion
The functional and geometric properties of limits of homeomorphisms with integrable distortion of domains in Carnot groups are studied. The homeomorphisms belong to Sobolev classes.
S. K. Vodopyanov, S. V. Pavlov
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Integral Representation of Local Left–Invariant Functionals in Carnot Groups
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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ABSTRACT This paper provides an overview of high‐temperature superconducting (HTS) cables in DC systems, with a focus on their deployment in high‐voltage DC (HVDC) networks. The assessment of HTS cable properties—such as extremely low electrical resistance, high current‐carrying capacity and a compact geometry—and their comparison with those of ...
Mohammad Hossein Mousavi +2 more
wiley +1 more source
Almost uniform domains and Poincaré inequalities
Here we show existence of many subsets of Euclidean spaces that, despite having empty interior, still support Poincaré inequalities with respect to the restricted Lebesgue measure.
Sylvester Eriksson‐Bique, Jasun Gong
doaj +1 more source

