Results 41 to 50 of about 5,405,878 (192)

Convex Hull Property and Exclosure Theorems for H-Minimal Hypersurfaces in Carnot Groups

Analysis and Geometry in Metric Spaces, 2016
In this paper, we generalize to sub-Riemannian Carnot groups some classical results in the theory of minimal submanifolds. Our main results are for step 2 Carnot groups.
Montefalcone Francescopaolo
doaj   +1 more source

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

Intrinsic regular surfaces in Carnot groups

Bruno Pini Mathematical Analysis Seminar
A Carnot group $G$ is a simply connected, nilpotent Lie group with stratified Lie algebra. Intrinsic regular surfaces in Carnot groups play the same role as C1 surfaces in Euclidean spaces.
Daniela Di Donato
doaj   +1 more source

BiLipschitz Decomposition of Lipschitz Maps between Carnot Groups

Analysis and Geometry in Metric Spaces, 2015
Let f : G → H be a Lipschitz map between two Carnot groups. We show that if B is a ball of G, then there exists a subset Z ⊂ B, whose image in H under f has small Hausdorff content, such that B\Z can be decomposed into a controlled number of pieces, the ...
Li Sean
doaj   +1 more source

Remarks on Lipschitz domains in Carnot groups

, 2014
In this Note we present the basic features of the theory of Lipschitz maps within Carnot groups as it is developed in [8], and we prove that intrinsic Lipschitz domains in Carnot groups are uniform ...
Franchi, Bruno, Bruno Franchi, Penso, Valentina, Serapioni, Raul, Valentina Penso, Raul Serapioni   +5 more
core   +1 more source

Metric lines in metabelian Carnot groups [PDF]

, 2023
This work is devoted to metric lines (isometric embedding of the real line) in metabelian Carnot groups G: we say that a group G is metabelian if $[G,G]$ is abelian.
Bravo Doddoli, Alejandro
core   +1 more source

Nonlocal diffusion equations in Carnot groups

Rendiconti del Circolo Matematico di Palermo Series 2, 2022
20 ...
Isolda E. Cardoso, Raúl E. Vidal
openaire   +2 more sources

Probing the Architecture of Organic Heterojunctions Based on Zn(Salen)‐Type/Lu(Bis‐phthalocyanine) Complexes and Their Potential Application as Gas Sensors

Advanced Materials Interfaces, EarlyView.
Planar bilayer heterojunctions are fabricated from two molecular materials and compared to solution‐processed bulk heterojunctions. Raman spectroscopy and conductive AFM studies reveal the formation of conductive pillar‐like structures within a poorly conductive matrix.
Agostino Attinà, Petr Bečvár, Martin Hruska, Rita Meunier‐Prest, Eric Lesniewska, Santo Di Bella, Marcel Bouvet   +6 more
wiley   +1 more source

From the Discovery of the Giant Magnetocaloric Effect to the Development of High‐Power‐Density Systems

Advanced Materials Technologies, EarlyView.
The article overviews past and current efforts on caloric materials and systems, highlighting the contributions of Ames National Laboratory to the field. Solid‐state caloric heat pumping is an innovative method that can be implemented in a wide range of cooling and heating applications.
Agata Czernuszewicz, Yaroslav Mudryk, Jun Cui, Lucas Griffith, Duane D. Johnson, Julie Slaughter   +5 more
wiley   +1 more source

Maximizing the Energy Output of Soft Electrohydraulic Generators

Advanced Science, EarlyView.
Many energy resources cannot be viably harvested with electromagnetic generators. This article evaluates the potential of soft electrohydraulic generators as an alternative approach for energy capture. An analytical model charts their operational limits and a rigorous experimental study results in new performance benchmarks with maximum specific energy
Sophie Kirkman, Ingemar Schmidt, Lawrence T. Smith, Steven L. Zhang, Shane K. Mitchell, Soo Jin Adrian Koh, Philipp Rothemund, Christoph Keplinger   +7 more
wiley   +1 more source