Results 71 to 80 of about 217,811 (220)
Quasiconformal maps on non-rigid Carnot groups [PDF]
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]
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
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
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
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]
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
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]
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]
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
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