Results 11 to 20 of about 12,426,629 (301)
Minimal Surfaces in the Heisenberg Group [PDF]
Geometriae Dedicata, 2004 We investigate the minimal surface problem in the three dimensional Heisenberg group, H, equipped with its standard Carnot-Caratheodory metric. Using a particular surface measure, we characterize minimal surfaces in terms of a sub-elliptic partial differential equation and prove an existence result for the Plateau problem in this setting.
Scott D. Pauls
core +7 more sources
The braided Heisenberg group [PDF]
Journal of Mathematical Physics, 1993 The braided groups and braided matrices B(R) for the solution R of the Yang–Baxter equation associated to the quantum Heisenberg group are computed. It is also shown that a particular extension of the quantum Heisenberg group is dual to the Heisenberg universal enveloping algebra Uq(h), and this result is used to derive an action of Uq(h) on the ...
Shahn Majid, W. K. Baskerville
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Deformations of the discrete Heisenberg group [PDF]
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2013 We study deformations of the discrete Heisenberg group acting properly discontinuously on the Heisenberg group from the left and right and obtain a complete description of the deformation space.
Barmeier, Severin
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Nonlocal Harnack inequalities in the Heisenberg group [PDF]
Calculus of Variations and Partial Differential Equations, 2022 We deal with a wide class of nonlinear integro-differential problems in the Heisenberg-Weyl group Hn\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage ...
Giampiero Palatucci, Mirco Piccinini
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Hölder Continuity and Boundedness Estimates for Nonlinear Fractional Equations in the Heisenberg Group [PDF]
Journal of Geometric Analysis, 2022 We extend the celebrate De Giorgi-Nash-Moser theory to a wide class of nonlinear equations driven by nonlocal, possibly degenerate, integro-differential operators, whose model is the fractional p -Laplacian operator on the Heisenberg-Weyl group $$\mathbb
M. Manfredini +3 more
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On the dimension of Kakeya sets in the first Heisenberg group [PDF]
, 2021 We define Kakeya sets in the Heisenberg group and show that the Heisenberg Hausdorff dimension of Kakeya sets in the first Heisenberg group is at least 3.
Jiayin Liu
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On the critical Choquard-Kirchhoff problem on the Heisenberg group
Advances in Nonlinear Analysis, 2022 In this paper, we deal with the following critical Choquard-Kirchhoff problem on the Heisenberg group of the form: M ( ‖ u ‖ 2 ) ( − Δ H u + V ( ξ ) u ) = ∫ H N ∣ u ( η ) ∣ Q λ ∗ ∣ η − 1 ξ ∣ λ d η ∣ u ∣ Q λ ∗ − 2 u + μ f ( ξ , u ) , M\left(\Vert u{\Vert }
Xueqi Sun, Yueqiang Song, Sihua Liang
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Campana points on biequivariant compactifications of the Heisenberg group [PDF]
European Journal of Mathematics, 2020 We study Campana points on biequivariant compactifications of the Heisenberg group and confirm the log Manin conjecture introduced by Pieropan, Smeets, Tanimoto and Várilly-Alvarado.
Huan Xiao
semanticscholar +1 more source
Communications Physics, 2021 A key feature of topological insulators, such as Bi2Se3 is their protected electronic surface states where the direction of spin is locked to their momentum.
Khalil Zakeri +2 more
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Geometry of left-invariant Randers metric on the Heisenberg groups [PDF]
Arab Journal of Mathematical Sciences, 2023 Purpose – In this paper, we consider the Heisenberg groups which play a crucial role in both geometry and theoretical physics. Design/methodology/approach – In the first part, we retrieve the geometry of left-invariant Randers metrics on the Heisenberg ...
Ghodratallah Fasihi-Ramandi +1 more
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