Results 71 to 80 of about 3,104 (212)

The Isoperimetric Problem in Carnot-Caratéodory Spaces

open access: yesBruno Pini Mathematical Analysis Seminar, 2017
We present some recent results obtained on the isoperimetric problem in a class of Carnot-Carathéodory spaces, related to the Heisenberg group. This is the framework of Pansu’s conjecture about the shape of isoperimetric sets.
Valentina Franceschi
doaj   +1 more source

Light‐Driven Distal Difunctionalization of Thioalkynes Using Thiosulfonates as Bifunctional Reagents

open access: yesAdvanced Synthesis &Catalysis, Volume 368, Issue 10, 19 May 2026.
A site‐selective light‐driven 1,4−thiosulfonylation of thioalkynes with thiosulfonates as bifunctional reagents was developed. A site‐selective light‐driven 1,4−thiosulfonylation of thioalkynes with thiosulfonates as bifunctional reagents was developed.
Balu Ramesh   +4 more
wiley   +1 more source

Metric lines in the jet space

open access: yesAnalysis and Geometry in Metric Spaces
In the realm of sub-Riemannian manifolds, a relevant question is: what are the metric lines (isometric embedding of the real line)? The space of kk-jets of a real function of one real variable xx, denoted by Jk(R,R){J}^{k}\left({\mathbb{R}},{\mathbb{R}}),
Bravo-Doddoli Alejandro
doaj   +1 more source

Characterizing circadian rest–activity rhythm patterns across Alzheimer's disease continuum in Down syndrome

open access: yesAlzheimer's &Dementia, Volume 22, Issue 5, May 2026.
Abstract INTRODUCTION Sleep and circadian rest–activity rhythm (RAR) disruption may bidirectionally relate to Alzheimer's disease (AD). Down syndrome (DS), the most common genetic cause of AD, presents sleep disorders, yet RAR patterns across the DS‐associated AD continuum remain uncharacterized. METHODS We analyzed 7‐day wrist actigraphy in 140 adults
Sandra Giménez   +26 more
wiley   +1 more source

c horizontal convexity on Carnot groups

open access: yes, 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
openaire   +4 more sources

Peak width of skeletonized mean diffusivity reveals early and multifactorial white matter injury across sporadic and Down syndrome–associated Alzheimer's disease

open access: yesAlzheimer's &Dementia, Volume 22, Issue 5, May 2026.
Abstract INTRODUCTION This study investigates the evolution with disease progression and pathological correlates of peak width of skeletonized mean diffusivity (PSMD), a sensitive diffusion magnetic resonance imaging (MRI) marker of microvascular white matter (WM) injury, in sporadic Alzheimer's disease (sAD) and Down syndrome (DS)–associated AD (DSAD).
Alejandra O. Morcillo‐Nieto   +27 more
wiley   +1 more source

Algebraic prolongation and rigidity of Carnot groups [PDF]

open access: yes, 2011
We discuss the known results on rigidity of Carnot groups using Tanaka’s prolongation theory. We also apply Tanaka’s theory to study rigidity of an extended class of H-type groups which we call J-type groups.
Warhurst, Ben, Ottazzi, Alessandro
core   +1 more source

A nonintegrable sub-Riemannian geodesic flow on a Carnot group

open access: yes, 1997
Graded nilpotent Lie groups, or Carnot groups, are to sub-Riemannian geometry as Euclidean spaces are to Riemannian geometry. They are the metric tangent cones for this geometry. Hoping that the analogy between sub-Riemannian and Riemannian geometry is a
Montgomery, R.   +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

In vivo CAR therapies: Turning the patient into their own CAR factory

open access: yesHemaSphere, Volume 10, Issue 5, May 2026.
Abstract Over the past decade, ex vivo autologous chimeric antigen receptor (CAR)‐T‐cell therapies have reshaped the treatment of B‐cell malignancies. Despite their remarkable clinical efficacy, their application remains limited by complex manufacturing processes, demanding logistics, long turnaround times, and substantial costs. In vivo CAR approaches
François Vilcot   +3 more
wiley   +1 more source

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