Results 1 to 10 of about 1,767 (169)
On rectifiable measures in Carnot groups: representation. [PDF]
Calc Var Partial Differ Equ, 2022 AbstractThis paper deals with the theory of rectifiability in arbitrary Carnot groups, and in particular with the study of the notion of $$\mathscr {P}$$ P -rectifiable measure. First, we show that in arbitrary Carnot groups the natural infinitesimal definition of rectifiabile measure, i.e., the definition given in ...
Antonelli G, Merlo A.
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Analysis and Geometry in Metric Spaces, 2018 Carnot groups are distinguished spaces that are rich of structure: they are those Lie groups equipped with a path distance that is invariant by left-translations of the group and admit automorphisms that are dilations with respect to the distance.
Le Donne Enrico
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Analysis and Geometry in Metric Spaces, 2014 We characterize Carnot groups admitting a 1-quasiconformal metric inversion as the Lie groups of Heisenberg type whose Lie algebras satisfy the J2-condition, thus characterizing a special case of inversion invariant bi-Lipschitz homogeneity.
Freeman David M.
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A Cornucopia of Carnot Groups in Low Dimensions
Analysis and Geometry in Metric Spaces, 2022 Stratified groups are those simply connected Lie groups whose Lie algebras admit a derivation for which the eigenspace with eigenvalue 1 is Lie generating.
Le Donne Enrico, Tripaldi Francesca
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Multicomplexes on Carnot Groups and Their Associated Spectral Sequence. [PDF]
J Geom Anal, 2023 AbstractThe aim of this paper is to give a thorough insight into the relationship between the Rumin complex on Carnot groups and the spectral sequence obtained from the filtration on forms by homogeneous weights that computes the de Rham cohomology of the underlying group.
Lerario A, Tripaldi F.
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On Rectifiable Measures in Carnot Groups: Existence of Density. [PDF]
J Geom Anal, 2022 AbstractIn this paper, we start a detailed study of a new notion of rectifiability in Carnot groups: we say that a Radon measure is$${\mathscr {P}}_h$$Ph-rectifiable, for$$h\in {\mathbb {N}}$$h∈N, if it has positiveh-lower density and finiteh-upper density almost everywhere, and, at almost every point, it admits a unique tangent measure up to multiples.
Antonelli G, Merlo A.
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Alkene Hydrogenation by a Cationic, Nine-Coordinate Molybdenum(VI) Pentahydride Catalyst. [PDF]
ChemistryWhile late 3d metals dominate efforts to replace precious metals in homogeneous hydrogenation, molybdenum has remained largely ignored. This work reveals that a nine‐coordinate pentahydrido molybdenum complex can hydrogenate a broad range of alkenes efficiently, demonstrating that early‐metal polyhydrides can serve as genuine catalysts rather than mere
Estival A +9 more
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Ricci curvatures in Carnot groups
Mathematical Control and Related Fields, 2013 29 pages, 1 ...
Ludovic Rifford
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Pd/C-Catalyzed Hydrogenation of CF<sub>3</sub>-, CF<sub>2</sub>H-, and CF<sub>2</sub>CO<sub>2</sub>Et-containing Pyridines: A Robust Method for Highly Functionalized containing Piperidines. [PDF]
Angew Chem Int Ed EnglA robust and efficient method to access diversely functionalized fluorinated piperidines was developed. The approach features the hydrogenation of polysubstituted pyridines bearing CF3, CF2H, and CF2CO2Et substituents using an inexpensive, readily available heterogeneous Pd/C catalyst under air‐ and moisture‐tolerant conditions, offering an appealing ...
Charvillat T +7 more
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Noninnocent Deep Eutectic Solvents Enable Selective, Sustainable Nickel-Catalyzed Cross-Electrophile Couplings to Diarylmethanes. [PDF]
ChemSusChemNi‐catalyzed cross‐electrophile coupling (XEC) of aryl iodides with benzyl chlorides proceeds efficiently in the deep eutectic solvent (DES) choline chloride/urea, replacing hazardous amide solvents. Under mild, aerobic, heterogeneous conditions, diarylmethanes form in up to 95% yield.
Paparella AN +7 more
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