Results 1 to 10 of about 12,426,629 (301)
Geodesics in the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2015 We provide a new and elementary proof for the structure of geodesics in the Heisenberg group Hn. The proof is based on a new isoperimetric inequality for closed curves in R2n.We also prove that the Carnot- Carathéodory metric is real analytic away from ...
Hajłasz Piotr, Zimmerman Scott
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The Harmonic Oscillator on the Heisenberg Group [PDF]
Comptes Rendus. Mathématique, 2020 In this note we present a notion of harmonic oscillator on the Heisenberg group $\mathbf{H}_n$ which forms the natural analogue of the harmonic oscillator on $\mathbb{R}^n$ under a few reasonable assumptions: the harmonic oscillator on $\mathbf{H}_n ...
Rottensteiner, David, Ruzhansky, Michael
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Note on Heisenberg Characters of Heisenberg Groups [PDF]
Ratio Mathematica, 2018 An irreducible character χ of a group G is called a Heisenberg character, if Kerχ ⊇ [G,[G,G]]. In this paper, the Heisenberg characters of the quaternion Heisenberg, generalized Heisenberg, polarised Heisenberg and three other types of infinite ...
Alieh Zolfi, Ali Reza Ashrafi
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Critical nonlocal Schrödinger-Poisson system on the Heisenberg group
Advances in Nonlinear Analysis, 2021 In this paper, we are concerned with the following a new critical nonlocal Schrödinger-Poisson system on the Heisenberg group:
Liu Zeyi +4 more
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CMC Spheres in the Heisenberg Group [PDF]
Analysis and Geometry in Metric Spaces, 2019 We study a family of spheres with constant mean curvature (CMC) in the Riemannian Heisenberg group H1. These spheres are conjectured to be the isoperimetric sets of H1. We prove several results supporting this conjecture.
Franceschi Valentina +2 more
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Concentration-compactness results for systems in the Heisenberg group [PDF]
Opuscula Mathematica, 2020 In this paper we complete the study started in [P. Pucci, L. Temperini, Existence for (p,q) critical systems in the Heisenberg group, Adv. Nonlinear Anal.
Patrizia Pucci, Letizia Temperini
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Riesz Potential on the Heisenberg Group [PDF]
Journal of Inequalities and Applications, 2011 The relation between Riesz potential and heat kernel on the Heisenberg group is studied. Moreover, the Hardy-Littlewood-Sobolev inequality is established.
Jianxun He, Jinsen Xiao
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Invariant Translators of the Heisenberg Group [PDF]
The Journal of Geometric Analysis, 2018 We classify all the translating solitons to the mean curvature flow in the three-dimensional Heisenberg group that are invariant under the action of some one-parameter group of isometries of the ambient manifold.
Giuseppe Pipoli
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A frequency space for the Heisenberg group [PDF]
Annales de l'Institut Fourier, 2016 We here revisit Fourier analysis on the Heisenberg group H^d. Whereas, according to the standard definition, the Fourier transform of an integrable function f on H^d is a one parameter family of bounded operators on L 2 (R^d), we define (by taking ...
H. Bahouri, J. Chemin, R. Danchin
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Existence for (p, q) critical systems in the Heisenberg group
Advances in Nonlinear Analysis, 2019 This paper deals with the existence of entire nontrivial solutions for critical quasilinear systems (𝓢) in the Heisenberg group ℍn, driven by general (p, q) elliptic operators of Marcellini types.
Pucci Patrizia, Temperini Letizia
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