Results 141 to 150 of about 18,321 (180)

Plasma SNAP25 is increased in pre-clinical Alzheimer's disease and has prognostic value for cognitive decline and disease progression: a multi-cohort study

Das S, Trieu C, Belbin O, Goossens J, Braber Ad, Gonzalez A, Alcolea D, Boonkamp L, Houtkamp I, Bongers B, Veld Li‘, Barrett N, Fortea J, Lleo A, Flier Wvd, Harten Av, Vanmechelen E, Teunissen C, Verberk I.   +18 more
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Ricci curvatures in Carnot groups

Mathematical Control and Related Fields, 2013
29 pages, 1 ...
Ludovic Rifford
exaly   +4 more sources

A Primer on Carnot Groups: Homogenous Groups, Carnot-Carathéodory Spaces, and Regularity of Their Isometries

Analysis and Geometry in Metric Spaces, 2017
Enrico Le Donne
exaly   +2 more sources

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Mikhlin’s problem on Carnot groups

Siberian Mathematical Journal, 2008
Summary: We consider one class of singular integral operators over the functions on domains of Carnot groups.
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Quasi-convex Functions in Carnot Groups*

Chinese Annals of Mathematics, Series B, 2007
The authors introduce the concept of \(h\)-quasiconvexity which generalizes the notion of \(h\)-convexity in the Carnot group \(G\). An example of \(h\)-quasiconvex function which is not \(h\)-convex is provided. Some interesting properties similar to those of \(h\)-convex functions on \(G\) are given.
Sun, Mingbao, Yang, Xiaoping
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Elements of Potential Theory on Carnot Groups

Functional Analysis and Its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ruzhansky, MV, Suragan, D
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WAVE AND MAXWELL'S EQUATIONS IN CARNOT GROUPS

Communications in Contemporary Mathematics, 2012
In this paper we define Maxwell's equations in the setting of the intrinsic complex of differential forms in Carnot groups introduced by M. Rumin. It turns out that these equations are higher-order equations in the horizontal derivatives. In addition, when looking for a vector potential, we have to deal with a new class of higher-order evolution ...
FRANCHI, BRUNO, TESI, MARIA CARLA
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Classification of a Class of Nonrigid Carnot Groups

Journal of Lie Theory, 2015
The authors classify up to isomorphism a class of nonrigid Carnot groups. They also identify all \(C^2\) quasiconformal maps of these nonrigid Carnot groups. The results are interesting.
Hughes, Michael R., Staic, Mihai D., Xie, Xiangdong   +2 more
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Classes of Maximal Surfaces on Carnot Groups

Siberian Mathematical Journal, 2020
This paper contains a discussion of graph surfaces in nilpotent Lie groups with sub-Lorentzian geometric structure. Such graph surfaces are a generalization of Euclidean graphs to the setting of contact mappings between appropriately structured nilpotent Lie groups.
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Homogenization and Convergence of Correctors in Carnot Groups

Communications in Partial Differential Equations, 2005
ABSTRACT We consider homogenization of differential operators of the form where is a family of linearly independent vector fields in ℝ N that by commutation generate the Lie algebra of a Carnot group, a ij (ξ) are periodic functions in the sense of the group, and δ1/e are the dilations in the group. We establish Meyers type estimates for the horizontal
FRANCHI, BRUNO, Gutiérrez C. E., van Nguyen T.   +2 more
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