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The present work investigates regular, semiregular, and chiral polytopes of any rank $d\geq 3$, whose automorphism groups are 2-groups. There is a large variety of rather small finite regular or alternating semiregular polytopes with…

群论 · 数学 2025-12-18 Gabriel Cunningham , Yan-Quan Feng , Dong-Dong Hou , Egon Schulte

This article synthezises the most important results on the kinematics of cuspidal manipulators i.e. nonredundant manipulators that can change posture without meeting a singularity. The characteristic surfaces, the uniqueness domains and the…

机器人学 · 计算机科学 2010-02-10 Philippe Wenger

We collect evidence that the notion of path-ordered non-abelian integration admits an extension to two dimensions. We propose the corresponding notion of non-abelian 2-form along the lines of Lie algebroid theory and argue it is an…

数学物理 · 物理学 2025-02-03 Pavel Suprun

We consider Ward's generalized self-duality equations for U(2r) Yang-Mills theory on R^{4k} and their Moyal deformation under self-dual noncommutativity. Employing an extended ADHM construction we find two kinds of explicit solutions, which…

高能物理 - 理论 · 物理学 2010-04-05 Tatiana A. Ivanova , Olaf Lechtenfeld

We show that bodies with two planes of symmetry can display a range of behaviors even without inertia. Any such body supports a conserved quantity in its dynamics, and is either a settler, a drifter or a flutterer, depending only on its…

流体动力学 · 物理学 2025-01-13 Harshit Joshi , Rama Govindarajan

We investigate point-line geometries whose singular subspaces correspond to binary equidistant codes. The main result is a description of automorphisms of these geometries. In some important cases, automorphisms induced by non-monomial…

组合数学 · 数学 2024-07-12 Mark Pankov , Krzysztof Petelczyc , Mariusz Zynel

Every indefinite binary form occurs as the Picard lattice of some K3-surface. The group of its isometries, or automorphs, coincides with the automorphism group of the K3-surface, but only up to finite groups. The classical theory of…

代数几何 · 数学 2008-04-07 Federica Galluzzi , Giuseppe Lombardo , Chris Peters

This article deals with directional rotational deviations for non-wandering periodic point free homeomorphisms of the 2-torus which are homotopic to the identity. We prove that under mild assumptions, such a homeomorphism exhibits uniformly…

动力系统 · 数学 2018-03-13 Alejandro Kocsard , Fernanda Pereira-Rodrigues

We consider the problem on the existence of two dimensional superintegrable systems in the presence of a magnetic field in the two dimensional Euclidean space. We assume the existence of two integrals of motion, besides the Hamiltonian,…

数学物理 · 物理学 2026-04-23 Tatiana Ekelchik , Antonella Marchesiello

Equations of motion of low-energy effective theories of quantum electrodynamics include infinitely many interaction terms, which make them difficult to solve. The self-duality property has facilitated research on the solutions to these…

高能物理 - 理论 · 物理学 2015-06-04 Hironobu Kihara

In this paper we study the 2-dimension of a finite poset from the topological point of view. We use homotopy theory of finite topological spaces and the concept of a beat point to improve the classical results on 2-dimension, giving a more…

组合数学 · 数学 2007-05-23 Jonathan Ariel Barmak , Elias Gabriel Minian

Our previous results [J.Phys.: Condens. Matter 14 (2002) 13777] dealing with the analytical solution of the two-dimensional (2-D) Anderson localization problem due to disorder is generalized for anisotropic systems (two different hopping…

无序系统与神经网络 · 物理学 2009-11-11 V. N. Kuzovkov , W. von Niessen

The reduced system in the problem of the inertial motion of a rigid body with a fixed point (the Euler case) is equivalent, by the Maupertuis principle, to some geodesic flow on the 2-sphere. We describe the phase topology of this case…

可精确求解与可积系统 · 物理学 2014-08-27 Mikhail P. Kharlamov

We investigate the role of topological methods in the analysis of canard-type periodic and chaotic trajectories. In the first part of the paper, we apply topological degree to the analysis of multi-dimensional canards. The second part is…

动力系统 · 数学 2008-05-06 Alexei V. Pokrovskii , Alexey A. Pokrovskiy , Andrey Zhezherun

We study the existence and stability of classical de Sitter solutions of type II supergravities with parallel Dp-branes and orientifold Op-planes. Together with the dilaton and volume scalar fields, we consider a third one that…

高能物理 - 理论 · 物理学 2021-07-28 David Andriot

We construct explicit cohomogeneity two metrics of G_2 holonomy, which are foliated by twistor spaces. The twistor spaces are S^2 bundles over four-dimensional Bianchi IX Einstein metrics with self-dual (or anti-self-dual) Weyl tensor.…

高能物理 - 理论 · 物理学 2009-09-17 M. Cvetic , G. W. Gibbons , H. Lu , C. N. Pope

We study cones and cylinders with a 1-parametric isometric deformation carrying at least two planar curves, which remain planar during this continuous flexion and are located in non-parallel planes. We investigate this geometric/kinematic…

计算几何 · 计算机科学 2023-03-15 Georg Nawratil

We investigate the dynamics of finite degree-of-freedom, planar mechanical systems with multiple sliding, unilateral frictional point contacts. A complete classification of systems with 2 sliding contacts is given. The contact-mode based…

经典物理 · 物理学 2017-05-24 Péter L. Várkonyi

We consider the free boundary problem for a liquid drop of nearly spherical shape with capillarity, and we study the existence of nontrivial (i.e., non spherical) rotating traveling profiles bifurcating from the spherical shape, where the…

偏微分方程分析 · 数学 2025-04-03 Pietro Baldi , Domenico Angelo La Manna , Giuseppe La Scala

In this paper we will consider the 2-fold symmetric complex hyperbolic triangle groups generated by three complex reflections through angle 2pi/p with p no smaller than 2. We will mainly concentrate on the groups where some elements are…

代数拓扑 · 数学 2017-04-20 John R. Parker , Li-Jie Sun