Results 51 to 60 of about 12,584,112 (314)
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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Lipschitz Homotopy Groups of the Heisenberg Groups [PDF]
Geometric and Functional Analysis, 2014 14 pages, fixed bibliography, to appear in ...
Wenger, Stefan, Young, Robert
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Shannon Multiresolution Analysis on the Heisenberg Group [PDF]
, 2008 We present a notion of frame multiresolution analysis on the Heisenberg group, abbreviated by FMRA, and study its properties. Using the irreducible representations of this group, we shall define a sinc-type function which is our starting point for ...
Azita Mayeli +16 more
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The diagonal cosets of the Heisenberg group [PDF]
Journal of High Energy Physics, 2008 In this paper we study the diagonal cosets of the non-compact H4 WZW model. Generalising earlier work by Antoniadis and Obers, we provide an exact world-sheet description for several families of non-maximally symmetric gravitational plane waves with background NS fluxes. We show that the sigma-models that correspond to an asymmetric action of the gauge
Thomas Quella +2 more
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A $C^m$ Whitney extension theorem for horizontal curves in the Heisenberg group [PDF]
Transactions of the American Mathematical Society, 2018 We characterize those mappings from a compact subset of $\mathbb{R}$ into the Heisenberg group $\mathbb{H}^{n}$ which can be extended to a $C^{m}$ horizontal curve in $\mathbb{H}^{n}$.
A. Pinamonti +2 more
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Geometric inequalities on Heisenberg groups [PDF]
Calculus of Variations and Partial Differential Equations, 2018 We establish geometric inequalities in the sub-Riemannian setting of the Heisenberg group $\mathbb H^n$. Our results include a natural sub-Riemannian version of the celebrated curvature-dimension condition of Lott-Villani and Sturm and also a geodesic version of the Borell-Brascamp-Lieb inequality akin to the one obtained by Cordero-Erausquin, McCann ...
Alexandru Kristály +3 more
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Heisenberg uniqueness pairs on the Euclidean spaces and the motion group
Comptes Rendus. Mathématique, 2020 In this article, we consider Heisenberg uniqueness pairs corresponding to the exponential curve and surfaces, paraboloid, and sphere. Further, we look for analogous results related to the Heisenberg uniqueness pair on the Euclidean motion group and ...
Chattopadhyay, Arup +3 more
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Sub-Finsler Horofunction Boundaries of the Heisenberg Group
Analysis and Geometry in Metric Spaces, 2021 We give a complete analytic and geometric description of the horofunction boundary for polygonal sub-Finsler metrics, that is, those that arise as asymptotic cones of word metrics, on the Heisenberg group.
Fisher Nate, Golo Sebastiano Nicolussi
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Harmonic and anharmonic oscillators on the Heisenberg group [PDF]
Journal of Mathematics and Physics, 2018 In this article, we present a notion of the harmonic oscillator on the Heisenberg group H n, which, under a few reasonable assumptions, forms the natural analog of a harmonic oscillator on [Formula: see text]: a negative sum of squares of operators on H ...
David Rottensteiner, Michael Ruzhansky
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