Results 1 to 10 of about 12,459,078 (317)
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.Comment: 8 ...
Barmeier, Severin
core +6 more sources
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.
core +6 more sources
The Braided Heisenberg Group [PDF]
Journal of Mathematical Physics, 1992 We compute the braided groups and braided matrices $B(R)$ for the solution $R$ of the Yang-Baxter equation associated to the quantum Heisenberg group.
Faddeev L., S. Majid, W. K. Baskerville
core +5 more sources
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
doaj +4 more sources
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
doaj +2 more sources
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
doaj +5 more sources
Steiner's formula in the Heisenberg group [PDF]
Nonlinear Analysis, 2015 Steiner's tube formula states that the volume of an ∈-neighborhood of a smooth regular domain in ℝn is a polynomial of degree n in the variable ∈ whose coefficients are curvature integrals (also called quermassintegrals). We prove a similar result in the
Balogh, Zoltán M. +4 more
core +4 more sources
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
doaj +6 more sources
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
doaj +2 more sources
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
semanticscholar +6 more sources