Results 21 to 30 of about 8,260 (218)

Steiner Formula and Gaussian Curvature in the Heisenberg Group

open access: yesBruno 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
doaj   +1 more source

Sub-Finsler Horofunction Boundaries of the Heisenberg Group

open access: yesAnalysis 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
doaj   +1 more source

Critical Kirchhoff equations involving the -sub-Laplacians operators on the Heisenberg group

open access: yesBulletin 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
doaj   +1 more source

THE EMBEDDINGS OF THE HEISENBERG GROUP INTO THE CREMONA GROUP [PDF]

open access: yesGlasgow Mathematical Journal, 2021
AbstractIn this article, we describe the embeddings of the Heisenberg group into the Cremona group.
openaire   +4 more sources

Concentration-compactness results for systems in the Heisenberg group [PDF]

open access: yesOpuscula Mathematica, 2020
In this paper we complete the study started in [P. Pucci, L. Temperini, Existence for (p,q) critical systems in the Heisenberg group, Adv. Nonlinear Anal.
Patrizia Pucci, Letizia Temperini
doaj   +1 more source

Lipschitz Homotopy Groups of the Heisenberg Groups [PDF]

open access: yesGeometric and Functional Analysis, 2014
14 pages, fixed bibliography, to appear in ...
Wenger, Stefan, Young, Robert
openaire   +4 more sources

Schwarzians on the Heisenberg Group

open access: yesComputational Methods and Function Theory
26 ...
Adamowicz, Tomasz, Warhurst, Ben
openaire   +2 more sources

Quantum holonomies and the Heisenberg group [PDF]

open access: yesModern 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
openaire   +2 more sources

Heisenberg uniqueness pairs on the Euclidean spaces and the motion group

open access: yesComptes 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
doaj   +1 more source

Foundational Machine‐Learning Interatomic Potential for Simulating Chemically Complex Ni‐Based Superalloys

open access: yesAdvanced Engineering Materials, EarlyView.
We apply a foundational machine‐learning interatomic potential based on the graph atomic cluster expansion (GRACE) to simulate the commercial Ni‐based single‐crystal superalloy CMSX‐4. Hybrid Monte‐Carlo/molecular dynamics sampling resolves short‐range order in the γ phase and L12 sublattice occupancies in the γ’ phase and connects them to stacking ...
Aditya Vishwakarma   +4 more
wiley   +1 more source

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