Results 71 to 80 of about 2,092 (183)

Conformal maps of Carnot groups

open access: yesAnnales Academiae Scientiarum Fennicae Mathematica, 2015
If f is a conformal mapping defined on a connected open subset of a Carnot group G, then either f is the composition of a translation, a dilation and an isometry, or G is the nilpotent Iwasawa component of a real rank 1 simple Lie group S, and f arises from the action of S on G, viewed as an open subset of S/P, where P is a parabolic subgroup of G and ...
Cowling, MG, Ottazzi, A
openaire   +5 more sources

Leveraging Wind Energy for Electricity and Hydrogen Production: A Sustainable Solution to Power Shortages and Eco‐Friendly Alternative Fuel

open access: yesAdvanced Energy and Sustainability Research, Volume 7, Issue 2, February 2026.
The article attracts researchers, policymakers, and industry leaders in renewable energy, hydrogen, and sustainable development, as it addresses the critical need for clean, efficient energy solutions. By evaluating the technical, environmental, and economic feasibility of integrating wind energy with hydrogen production. The findings offer significant
Mohamed Elnaggar   +4 more
wiley   +1 more source

Current Landscape: Use of Supercritical CO2 in the Wood Industry

open access: yesAdvanced Energy and Sustainability Research, Volume 7, Issue 2, February 2026.
The application of supercritical carbon dioxide (scCO2) to successfully dewater as well as extract resin from wood is becoming increasingly popular due to its greener and less energy‐intensive approach. With world focus shifting to developing methods with greater efficiency while decreasing harm to the environment, scCO2 applications have begun to set ...
Anthony Dahdah, Subashani Maniam
wiley   +1 more source

From signal processing of telecommunication signals to high pulse energy lasers: the Mamyshev regenerator case

open access: yesNanophotonics
We look back at many challenges as well as unexpected successes encountered by the Mamyshev optical regenerator, which combines spectral broadening from self-phase modulation followed by offset bandpass filtering.
Finot Christophe, Rochette Martin
doaj   +1 more source

Stability Theorems for H-Type Carnot Groups

open access: yesThe Journal of Geometric Analysis, 2023
We introduce the H-type deviation $δ({\mathbb G})$ of a step two Carnot group ${\mathbb G}$, which measures the deviation of the group from the class of Heisenberg-type groups. We show that $δ({\mathbb G})=0$ if and only if ${\mathbb G}$ carries a vertical metric which endows it with the structure of an H-type group. We compute the H-type deviation for
openaire   +3 more sources

Genome-wide association and Mendelian randomisation analysis provide insights into the pathogenesis of heart failure

open access: yesNature Communications, 2020
Heart failure is a complex syndrome that is associated with many different underlying risk factors. Here, to increase power, the authors jointly analyse cases of heart failure of different aetiologies in a genome-wide association study and identify 11 ...
Sonia Shah   +146 more
doaj   +1 more source

Geometric inequalities in Carnot groups [PDF]

open access: yesPacific Journal of Mathematics, 2013
Let $\GG$ be a sub-Riemannian $k$-step Carnot group of homogeneous dimension $Q$. In this paper, we shall prove several geometric inequalities concerning smooth hypersurfaces (i.e. codimension one submanifolds) immersed in $\GG$, endowed with the $\HH$-perimeter measure.
openaire   +2 more sources

Differential forms in Carnot groups: a variational approach

open access: yesBruno Pini Mathematical Analysis Seminar, 2011
Carnot groups (connected simply connected nilpotent stratified Lie groups) can be endowed with a complex of ``intrinsic'' differential forms. In this paper we want to provide an evidence of the intrinsic character of Rumin's complex, in the spirit of the
Annalisa Baldi
doaj  

Comparing three possible hypoelliptic Laplacians on the 5-dimensional Cartan group via div-curl type estimates

open access: yesAdvanced Nonlinear Studies
On general Carnot groups, the definition of a possible hypoelliptic Hodge-Laplacian on forms using the Rumin complex has been considered in (M. Rumin, “Differential geometry on C-C spaces and application to the Novikov-Shubin numbers of nilpotent Lie ...
Baldi Annalisa, Tripaldi Francesca
doaj   +1 more source

Double ball property: an overview and the case of step two Carnot groups

open access: yesBruno Pini Mathematical Analysis Seminar, 2012
We investigate the notion of the so-called Double Ball Property, which concerns the nonnegative sub-solutions of some differential operators. Thanks to the axiomatic approach developed in [6], this is an important tool in order to solve the Krylov ...
Giulio Tralli
doaj  

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