Results 151 to 160 of about 2,092 (183)
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Subharmonic functions on Carnot groups
Mathematische Annalen, 2003The 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, 1997The 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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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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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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2005
We give an account of recent results and open questions related to the notion of convexity in Carnot groups.
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We give an account of recent results and open questions related to the notion of convexity in Carnot groups.
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Cancer statistics for African American/Black People 2022
Ca-A Cancer Journal for Clinicians, 2022Angela Giaquinto +2 more
exaly
Cancer statistics for the US Hispanic/Latino population, 2021
Ca-A Cancer Journal for Clinicians, 2021Kimberly D Miller +2 more
exaly
Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
exaly
Isoperimetric sets on Carnot groups
2003The authors prove the existence of the isoperimetric set in Carnot groups, that is the existence of a set \(E\) minimizing the intrinsic perimeter \(P_G\) among all measurable sets of prescribed Lebesgue measure \(v\). The authors give also some regularity result of this set; they prove that the set \(E\) has a unique reduced equivalent set \(E_1 ...
LEONARDI, Gian Paolo, Rigot, Severine
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