Results 71 to 80 of about 217,811 (220)

Quasiconformal maps on non-rigid Carnot groups [PDF]

open access: yesarXiv, 2013
We study quasiconformal maps on non-rigid Carnot groups equipped with Carnot metric. We show that for most non-rigid Carnot groups N, all quasiconformal maps on N must be biLipschitz.
arxiv  

On the smoothness of $C^1$-contact maps in $C^{\infty}$-rigid Carnot groups [PDF]

open access: yesarXiv, 2020
We show that in any $C^\infty$-rigid Carnot group in the sense of Ottazzi - Warhurst, $C^1$-contact maps are automatically smooth.
arxiv  

Testing the Bonds: Franco‐Russian Alliance and the First Sino‐Japanese War

open access: yesAustralian Journal of Politics &History, EarlyView.
The conclusion of the Franco‐Russian Alliance was one of the major turning points in the history of international relations before the outbreak of the First World War in 1914. However, the alliance was put under its first severe test only months after its ratification in 1894.
Julius Lucas Becker
wiley   +1 more source

Operational definition of developmental and epileptic encephalopathies to underpin the design of therapeutic trials

open access: yesEpilepsia, EarlyView.
Abstract Developmental and epileptic encephalopathies (DEEs) are the most severe group of epilepsies, characterized by drug‐resistant seizures and developmental slowing or regression. DEEs encompass many epilepsy syndromes, although not all patients with a DEE can be classified into a specific syndrome.
Ingrid E. Scheffer   +5 more
wiley   +1 more source

High Order Fefferman-Phong Type Inequalities in Carnot Groups and Regularity for Degenerate Elliptic Operators plus a Potential

open access: yesAbstract and Applied Analysis, 2014
Let {X1,X2,…,Xm} be the basis of space of horizontal vector fields in a Carnot group G=(Rn ...
Pengcheng Niu, Kelei Zhang
doaj   +1 more source

Compression bounds for Lipschitz maps from the Heisenberg group to $L_1$ [PDF]

open access: yes, 2009
We prove a quantitative bi-Lipschitz nonembedding theorem for the Heisenberg group with its Carnot-Carath\'eodory metric and apply it to give a lower bound on the integrality gap of the Goemans-Linial semidefinite relaxation of the Sparsest Cut ...
Cheeger, Jeff   +2 more
core   +1 more source

A Decade with VAMDC: Results and Ambitions

open access: yesAtoms, 2020
This paper presents an overview of the current status of the Virtual Atomic and Molecular Data Centre (VAMDC) e-infrastructure, including the current status of the VAMDC-connected (or to be connected) databases, updates on the latest technological ...
Damien Albert   +72 more
doaj   +1 more source

Global contact and quasiconformal mappings of Carnot groups [PDF]

open access: yesarXiv, 2014
We show that globally defined quasiconformal mappings of rigid Carnot groups are affine, but that globally defined contact mappings of rigid Carnot groups need not be quasiconformal, and a fortiori not affine.
arxiv  

Metric currents, differentiable structures, and Carnot groups [PDF]

open access: yes, 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

Minimal surfaces in the Heisenberg group

open access: yes, 2006
We investigate the minimal surface problem in the three dimensional Heisenberg group, H, equipped with its standard Carnot-Caratheodory metric. Using a particular surface measure, we characterize minimal surfaces in terms of a sub-elliptic partial ...
Pauls, Scott D.
core   +1 more source

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