作者：Abraham A. Ungar 来源：[C].Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization2019Project Euclid 摘要：It is known that entangled particles involve Lorentz symmetry violation. Hence, we pay attention to Lorentz transformations of signature $(m,n)$ for all positive integers $m$ and $n$. We show that these form the symmetry groups by which systems of $m$ entangled $n$-dimensional pa...
 作者：Gulgassyl Nugmanova , Akbota Myrzakul 来源：[C].Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization2019Project Euclid 摘要：Among nonlinear evolutionary equations integrable ones are of particular interest since only in this we case can theoretically study the model in detail and in-depth. In the present, we establish the geometric connection of the well-known integrable two-component Manakov system w...
 作者：Miroslav S. Petrov , Todor D. Todorov 来源：[C].Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization2019Project Euclid 摘要：The paper is devoted to various refinement strategies in the 4D Euclidean space. The red refinement strategy (RRS) have been widely used by researchers applying multigrid methods. This refinement method has a lot of advantages but it is not superior with respect to the degeneracy...
 作者：Alina Dobrogowska , Grzegorz Jakimowicz , Marzena Szajewska ... 来源：[C].Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization2019Project Euclid 摘要：The main goal of this paper is to present the possibility of application of some well known tools of Poisson geometry to classification of real low dimensional Lie algebras.
 作者：Vladimir Pulov , Mariana Ts. Hadzhilazova , Ivaïlo M. Mladenov 来源：[C].Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization2019Project Euclid 摘要：Here we consider an interesting class of free of bending deformations of thin axial symmetric shells subjected to uniform normal pressure. The meridional $k_{\mu}$ and the parallel $k_{\pi}$ principal curvatures of the middle surfaces of such shells obey the non-linear relationsh...
 作者：Rutwig Campoamor-Stursberg 来源：[C].Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization2019Project Euclid 摘要：Some aspects of the simple Lie algebra $\mathfrak{sl}(2,\mathbb{R})$ realized as a subalgebra of Noether point symmetries of Lagrangian systems and related inverse problems are discussed, specially in connection to Lagrangians of kinetic type and some geometric properties like se...
 作者：Mayeul Arminjon 来源：[C].Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization2019Project Euclid 摘要：In the electrodynamics of special relativity (SR) or general relativity (GR), the energy tensors of the charged medium and its EM field add to give the total energy tensor that obeys the dynamical equation without external force. In the investigated scalar theory of gravitation (...
 作者：Álvaro Pámpano 来源：[C].Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization2019Project Euclid 摘要：We variationally characterize the profile curves of rotational linear Weingarten surfaces as planar p-elastic curves. Moreover, by evolving these planar p-elasticae under the binormal flow with prescribed velocity, we describe a procedure to construct all rotational linear Weinga...
 作者：Francisco J. Herranz , Angel Ballesteros , Ivan Gutierrez-Sagredo ... 来源：[C].Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization2019Project Euclid 摘要：The nine two-dimensional Cayley-Klein geometries are firstly reviewed by following a graded contraction approach. Each geometry is considered as a set of three symmetrical homogeneous spaces (of points and two kinds of lines), in such a manner that the graded contraction paramete...
 作者：Ciprian Sorin Acatrinei 来源：[C].Proceedings of the Twentieth International Conference on Geometry, Integrability and Quantization2019Project Euclid 摘要：A discretization scheme provided by the noncommutativity of space is reviewed. In the representation chosen here the radial coordinate is rendered discrete, allowing fields to be put on a lattice in a natural way. Noncommutativity is traded for a controllable type of nonlocality ...