Results 41 to 50 of about 12,426,629 (301)
Isodiametric sets in the Heisenberg group [PDF]
Revista Matemática Iberoamericana, 2012 In the sub-Riemannian Heisenberg group equipped with its Carnot–Carathéodory metric and with a Haar measure, we consider isodiametric sets , i.e., sets maximizing measure among all sets with a given diameter. In particular, given an isodiametric set, and up to negligible sets, we prove that its boundary is given by
LEONARDI, Gian Paolo +2 more
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A pseudo-differential calculus on the Heisenberg group [PDF]
, 2014 In this note we present a symbolic pseudo-differential calculus on the Heisenberg group. We particularise to this group our general construction [4,3,2] of pseudo-differential calculi on graded groups.
Fischer, Veronique, Ruzhansky, Michael
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Critical Kirchhoff equations involving the -sub-Laplacians operators on the Heisenberg group
Bulletin of Mathematical Sciences, 2023 In this paper, we deal with a class of Kirchhoff-type critical elliptic equations involving the [Formula: see text]-sub-Laplacians operators on the Heisenberg group of the form M(∥DHu∥pp + ∥u∥ p,Vp)[−Δ H,pu + V (ξ)|u|p−2u] = λf(ξ,u) + |u|p∗−2u,ξ ∈ ℍn,u ...
Xueqi Sun +3 more
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Semmes surfaces and intrinsic Lipschitz graphs in the Heisenberg group [PDF]
Transactions of the American Mathematical Society, 2018 A Semmes surface in the Heisenberg group is a closed set S S that is upper Ahlfors-regular with codimension one and satisfies the following condition, referred to as Condition B. Every ball B ( x , r ) B(x,r) with x ∈
Katrin Fassler +2 more
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p-Mechanics and Field Theory [PDF]
, 2004 The orbit method of Kirillov is used to derive the p-mechanical brackets [math-ph/0007030, quant-ph/0212101]. They generate the quantum (Moyal) and classic (Poisson) brackets on respective orbits corresponding to representations of the Heisenberg group ...
Kisil, Vladimir V.
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Directional Macrocycle Transport, Release, and Recapture Enabled by a Rotaxane Transporter. [PDF]
ChemistryThis study represents a bistable rotaxane that enables the directional shuttling, release, and recapture of a dibenzo‐24‐crown‐8 macrocycle upon addition of suitable chemical stimuli. This two‐step molecular transport and release can be followed by NMR and distinct changes in the molecular fluorescence. Based on rational molecular design, the liberated
Kundu S, Mallick S, Riebe J, Niemeyer J.
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The Bernstein problem for Lipschitz intrinsic graphs in the Heisenberg group [PDF]
Calculus of Variations and Partial Differential Equations, 2018 We prove that, in the first Heisenberg group H\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin ...
S. Nicolussi, Francesco Serra Cassano
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Quantum holonomies and the Heisenberg group [PDF]
Modern Physics Letters A, 2019 Quantum holonomies of closed paths on the torus [Formula: see text] are interpreted as elements of the Heisenberg group [Formula: see text]. Group composition in [Formula: see text] corresponds to path concatenation and the group commutator is a deformation of the relator of the fundamental group [Formula: see text] of [Formula: see text], making ...
J. E. Nelson, R. F. Picken
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Steiner Formula and Gaussian Curvature in the Heisenberg Group
Bruno Pini Mathematical Analysis Seminar, 2016 The classical Steiner formula expresses the volume of the ∈-neighborhood Ω∈ of a bounded and regular domain Ω⊂Rn as a polynomial of degree n in ∈. In particular, the coefficients of this polynomial are the integrals of functions of the curvatures of the
Eugenio Vecchi
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Strict starshapedness of solutions to the horizontal p-Laplacian in the Heisenberg group
Mathematics in Engineering, 2021 We examine the geometry of the level sets of particular horizontally p-harmonic functions in the Heisenberg group. We find sharp, natural geometric conditions ensuring that the level sets of the p-capacitary potential of a bounded annulus in the ...
Mattia Fogagnolo , Andrea Pinamonti
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