Results 61 to 70 of about 2,812 (235)
Analysis and Geometry in Metric Spaces, 2013 In this paper we study heat kernels associated with a Carnot group G, endowed with a family of collapsing left-invariant Riemannian metrics σε which converge in the Gromov- Hausdorff sense to a sub-Riemannian structure on G as ε→ 0.
Capogna Luca +2 more
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Isodiametric inequality in Carnot groups
Annales Academiae Scientiarum Fennicae Mathematica, 2011 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. We prove that for any Carnot group equipped with a Haar measure one can find a homogeneous distance for which this fails to hold. We also consider Carnot-Caratheodory
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Investigating di‐n‐Butylcalcium
ChemistryEurope, EarlyView.A detailed synthetic, crystallographic, and spectroscopic investigation demonstrates that the hitherto elusive di‐n‐butylcalcium is accessible and stable at low temperature, and can be used for deprotometallation reactions. The synthesis and detailed characterization by NMR spectroscopy of di‐n‐butylcalcium are reported. The reaction of [Ca{N(SiMe3)2}2.
Gabriel Duneş +9 more
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Frontiers in Physics, 2021 Solitons are coherent structures that describe the nonlinear evolution of wave localizations in hydrodynamics, optics, plasma and Bose-Einstein condensates.
Amin Chabchoub +12 more
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Measure contraction properties of Carnot groups [PDF]
Calculus of Variations and Partial Differential Equations, 2016 We prove that any corank 1 Carnot group of dimension $k+1$ equipped with a left-invariant measure satisfies the $\mathrm{MCP}(K,N)$ if and only if $K \leq 0$ and $N \geq k+3$. This generalizes the well known result by Juillet for the Heisenberg group $\mathbb{H}_{k+1}$ to a larger class of structures, which admit non-trivial abnormal minimizing curves.
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ChemistryEurope, EarlyView.Direct air capture (DAC) of carbon dioxide (CO2) emerges as a key strategy for climate crisis mitigation. Redox‐mediated electrochemical carbon capture offers a promising route for energy‐efficient DAC. This perspective discusses recent advances in the field, highlighting key challenges, such as oxygen interference at low CO2 concentrations, and ...
Tilmann J. Neubert, Martin Oschatz
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Geodesics and isometries of Carnot groups
Kyoto Journal of Mathematics, 2003 The author proves that an isometry of a two-step Carnot group which fixes the identity is an automorphism of the nilpotent Lie group and derives from previously known results that the same holds for all Carnot groups, i.e. nilpotent Lie groups with left-invariant sub-Riemannian metrics.
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APPROXIMATIONS OF SOBOLEV NORMS IN CARNOT GROUPS [PDF]
Communications in Contemporary Mathematics, 2011 This paper deals with a notion of Sobolev space W1, pintroduced by Bourgain, Brezis and Mironescu by means of a seminorm involving local averages of finite differences. This seminorm was subsequently used by Ponce to obtain a Poincaré-type inequality.
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Synthesis of α‐Pentafluorosulfanylated‐β2,3‐Amino Esters
ChemistryEurope, EarlyView.De novo α‐SF5‐β2,3‐amino esters are now accessible through a straightforward aza‐Michael reaction using a series of newly developed (E)‐α‐SF5‐α,β‐unsaturated esters. Two new, highly functionalized, contiguous tertiary stereocenters are formed with diastereodivergence governed by the choice of solvent and/or base.
Thi Mo Nguyen +5 more
wiley +1 more source
Doubly critical problems involving Sub-Laplace operator on Carnot group
Electronic Research ArchiveThis paper was focused on the solvability of a class of doubly critical sub-Laplacian problems on the Carnot group $ \mathbb{G} $: \begin{document}$ -\Delta_{\mathbb{G}}u-\mu \frac{\psi^{2}(\xi) u }{\text{d}(\xi)^2} = \vert u\vert^{p-2}u +\psi ...
Shuhai Zhu
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