Results 151 to 160 of about 18,321 (180)

Jet Spaces as Nonrigid Carnot Groups

Journal of Lie Theory, 2005
On the jet spaces \(J^k(\mathbb R^m,\mathbb R^n)\) product is defined, which turns then to Carnot groups. It is emphasized that this product gives rise to a contact structure which coincides with the classical contact structure in the Lie-Bäcklund setting.
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Polar coordinates in Carnot groups

Mathematische Zeitschrift, 2002
In the present paper, the authors describe a procedure for constructing ``polar coordinates'' in a certain class of Carnot groups. They show that the given construction can be carried out in groups of Heisenberg type and they give explicit formulas for the polar coordinate decomposition in that setting. The construction makes use of nonlinear potential
Balogh, Zoltán M., Tyson, Jeremy T.
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Subharmonic functions on Carnot groups

Mathematische Annalen, 2003
The authors develop a potential theory for \(\Delta_G\)-subharmonic functions in \(\mathbb{R}^N\), where \(\Delta_G\) is the sub-Laplacian in a Carnot group \(G\). The main results are analogues to Riesz representation and Poisson-Jensen formulas, Nevanlinna type theorems, and a characterization of the \(\Delta_G\)-Riesz measures of upper bounded ...
Bonfiglioli, Andrea, Lanconelli, Ermanno
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Quasiregular maps on Carnot groups

Journal of Geometric Analysis, 1997
The authors develop a theory of quasiregular maps in a sub-Riemannian geometry of two-step Carnot groups. An analytic definition for quasiregularity is suggested and it is shown that conconstant quasiregular maps are open and discrete maps on Carnot groups which are two-step nilpotent and of Heisenberg type. Some results which are known to be valid in \
Heinonen, Juha, Holopainen, Ilkka
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Convexity in Carnot groups

2005
We give an account of recent results and open questions related to the notion of convexity in Carnot groups.
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Key components for Carnot Battery: Technology review, technical barriers and selection criteria

Renewable and Sustainable Energy Reviews, 2022
Andrea Vecchi, Kai Knobloch, Adriano Sciacovelli   +2 more
exaly  

Comprehensive performance analysis of cold storage Rankine Carnot batteries: Energy, exergy, economic, and environmental perspectives

Energy Conversion and Management, 2023
Zhe Wang, Fenghui Han
exaly  

Organic flash cycles in Rankine-based Carnot batteries with large storage temperature spreads

Energy Conversion and Management, 2022
Daniel Steger, Sotirios Karellas, Jürgen Karl   +2 more
exaly  

Heisenberg and Carnot Groups

2023
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Submanifolds in Carnot Groups

2008
The book is devoted to the study of submanifolds in the setting of Carnot groups equipped with a sub-Riemannian structure; particular emphasis is given to the case of Heisenberg groups. A Geometric Measure Theory viewpoint is adopted, and features as intrinsic perimeters, Hausdorff measures, area formulae, calibrations and minimal surfaces are ...
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