Results 1 to 10 of about 110,593 (279)
Minimal surfaces in the Heisenberg group [PDF]
Geometriae Dedicata, 2006 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 ...
Pauls, Scott D.
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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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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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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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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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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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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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Unconventional magnonic surface and interface states in layered ferromagnets
Communications Physics, 2021 Magnons are the quantized spin waves, which describe the collective magnetic excitations and the long-range magnetic order in a solid. Here, the authors describe how to engineer magnonic band structures at the interface and surface of ferromagnetic ...
Khalil Zakeri, Huajun Qin, Arthur Ernst
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