Results 71 to 80 of about 2,466 (181)
Optimal bounds for the Kobayashi distance near C2$\mathcal {C}^2$‐smooth boundary points
Journal of the London Mathematical Society, Volume 114, Issue 4, October 2026.Abstract It is shown that the optimal upper and lower bounds for the Kobayashi distance near C2,α$\mathcal {C}^{2,\alpha }$‐smooth strongly pseudoconvex boundary points obtained in Kosiński, Nikolov, and Ökten [Adv. Math. 478 (2025), 110388] remain true in the general C2$\mathcal {C}^2$‐smooth strongly pseudoconvex setting.
Nikolai Nikolov, Pascal J. Thomas
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c horizontal convexity on Carnot groups
, 2010 Given a real-valued function $c$ defined on the cartesian product of a generic Carnot group $\G$ and the first layer $V_1$ of its Lie algebra, we introduce a notion of $c$ horizontal convex ($c$ H-convex) function on $\G$ as the supremum of a suitable family of affine functions; this family is defined pointwisely, and depends strictly on the horizontal
CALOGERO, ANDREA GIOVANNI, PINI, RITA
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NanophotonicsWe look back at many challenges as well as unexpected successes encountered by the Mamyshev optical regenerator, which combines spectral broadening from self-phase modulation followed by offset bandpass filtering.
Finot Christophe, Rochette Martin
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Nucleophilic Trifluoromethoxylation of Acyl Chlorides: A Direct Route to Trifluoromethyl Esters
Advanced Synthesis &Catalysis, Volume 368, Issue 18, 19 September 2026.A new method for the synthesis of the underexplored trifluoromethyl carboxylic esters using acyl chlorides as readily available feedstocks and in situ‐generated AgOCF3 from silver fluoride and the trifluoromethyl para‐toluenesulfonate has been designed. The reaction works on a large variety of aromatic and aliphatic acyl chlorides, while minimizing the
Xavier Bertrand +3 more
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Critical Singular Problems in Carnot Groups
The Journal of Geometric AnalysisAbstract We consider a power-type mild singular perturbation of a Dirichlet semilinear critical problem settled in an open and bounded set in a Carnot group. Here, the term critical has to be understood in the sense of the Sobolev embedding.
Biagi, Stefano +2 more
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Differential forms in Carnot groups: a variational approach
Bruno Pini Mathematical Analysis Seminar, 2011 Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
doaj
Nature Communications, 2020 Heart failure is a complex syndrome that is associated with many different underlying risk factors. Here, to increase power, the authors jointly analyse cases of heart failure of different aetiologies in a genome-wide association study and identify 11 ...
Sonia Shah +146 more
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Advanced Nonlinear StudiesOn general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
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Lipschitz and bilipschitz maps on Carnot groups [PDF]
Pacific Journal of Mathematics, 2013 Suppose A is an open subset of a Carnot group G, where G has a discrete analogue, and H is another Carnot group. We show that a Lipschitz function from A to H whose image has positive Hausdorff measure in the appropriate dimension is biLipschitz on a subset of A of positive Hausdorff measure.
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