Results 51 to 60 of about 18,179 (207)
Invariant Carnot-Caratheodory metrics on $S^3$, $SO(3)$, $SL(2)$ and lens spaces
, 2008 In this paper we study the invariant Carnot-Caratheodory metrics on $SU(2)\simeq S^3$, $SO(3)$ and $SL(2)$ induced by their Cartan decomposition and by the Killing form.
Boscain, Ugo, Rossi, Francesco
core +1 more source
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
wiley +1 more source
Porosity, Differentiability and Pansu's Theorem
, 2016 We use porosity to study differentiability of Lipschitz maps on Carnot groups. Our first result states that directional derivatives of a Lipschitz function act linearly outside a $\sigma$-porous set.
Pinamonti, Andrea, Speight, Gareth
core +1 more source
Chemistry – A European Journal, EarlyView.The ring expansion of α‐cyclopropyl diazoacetates into cyclobutenoates upon irradiation at 425 nm was reported in moderate to excellent yields (17% to 75%) and moderate to good regioisomeric ratio (55:45 to 82:18). The formation of two regioisomers was explained using DFT calculations as well as the involvement of a singlet state carbene.
Raphaël Dollet +3 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
Metric currents, differentiable structures, and Carnot groups [PDF]
, 2011 We examine the theory of metric currents of Ambrosio and Kirchheim in the setting of spaces admitting differentiable structures in the sense of Cheeger and Keith.
Williams, Marshall
core +1 more source
Multicomponent Synthesis of Fluorine‐Containing Bioactive Compounds and Drugs
European Journal of Organic Chemistry, EarlyView.Multicomponent reactions are robust synthetic tools to assamble complex polyheterocycles and other interesting molecular architectures with potential application in medicinal chemistry, including their fluorine‐containing analogues. Fluorine atoms placed strategically into bioactive molecules often enhance essential pharmacokinetic parameters like ...
Ivette Morales‐Salazar +7 more
wiley +1 more source
Conformality and Q-harmonicity in Carnot groups
Duke Mathematical Journal, 2006 We show that if f is a 1-quasiconformal map defined on an open subset of a Carnot group G, then composition with f preserves Q-harmonic functions. We combine this with a regularity theorem for Q-harmonic functions and an algebraic regularity theorem for maps between Carnot groups to show that f is smooth.
Capogna, Luca, Cowling, Michael
openaire +4 more sources
Algebraic prolongation and rigidity of Carnot groups
Monatshefte für Mathematik, 2009 We discuss the known results on rigidity of Carnot groups using Tanaka’s prolongation theory. We also apply Tanaka’s theory to study rigidity of an extended class of H-type groups which we call J-type groups. In particular we obtain a rigidity criterion giving rise to a rigid class of J-type groups which includes the H-type groups, and thus extends the
Ottazzi, Alessandro, Warhurst, Ben
openaire +3 more sources
Exploring Low‐Global Warming Potential Refrigerants for Medium‐Charge Systems
Energy Technology, EarlyView.This study evaluates 15 low‐global warming potential (GWP) refrigerants as alternatives for medium‐charge systems, focusing on environmental impacts, operational performance, and system design integration. Key findings reveal R‐447A's suitability for standard climates and R‐454B's advantages in high ambient conditions, providing actionable guidance for
Fadi Alsouda +3 more
wiley +1 more source