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SO(3): The Principal Bundle Structure

Mathematics
In this article, the special orthogonal group SO(3) is considered as a topological group. We show that SO(3) has the structure of a principal SO(2)-bundle over the sphere S2. As a consequence, we prove that every orbit of an SO(3)-action on a topological
Ján Brajerčík, Demeter Krupka
doaj   +2 more sources

Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2013
A quantum principal bundle is constructed for every Coxeter group acting on a finite-dimensional Euclidean space E, and then a connection is also defined on this bundle.
Micho Đurđevich, Stephen Bruce Sontz
doaj   +2 more sources

Construction of an A-manifold on a principal torus bundle

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2013
We construct a new example of an A-manifold, i.e. a Riemannian manifold with cyclic-parallel Ricci tensor. This condition can be viewed as a generalization of the Einstein condition.
Grzegorz Zborowski
doaj   +1 more source

Hierarchical fiber bundle strength statistics [PDF]

, 2012
Multi-scale modeling is currently one of the most active research topics in a wide range of disciplines. In this thesis we develop innovative hierarchical multi-scale models to analyze the probabilistic strength of fiber bundle structures.
Alsaeed Mahmoud Abdalrahman, Tamer
core   +1 more source

Spin(8,C)-Higgs pairs over a compact Riemann surface

Open Mathematics, 2023
Let XX be a compact Riemann surface of genus g≥2g\ge 2, GG be a semisimple complex Lie group and ρ:G→GL(V)\rho :G\to {\rm{GL}}\left(V) be a complex representation of GG.
Antón-Sancho Álvaro
doaj   +1 more source

Principal bundle structure of the space of metric measure spaces [PDF]

, 2023
We study the topological structure of the space $\mathcal{X}$ of isomorphism classes of metric measure spaces equipped with the box or concentration topologies.
Kazukawa, Daisuke, Shioya, Takashi, Nakajima, Hiroki   +2 more
core   +1 more source

Construção de um bundle para alívio da dor na punção arterial norteado pela Tradução do Conhecimento [PDF]

Escola Anna Nery, 2022
RESUMO Objetivo descrever o processo de construção e estratégias de implementação de um bundle para alívio da dor durante a punção arterial do bebê hospitalizado.
Roberta Tognollo Borotta Uema, Bianca Machado Cruz Shibukawa, Gabrieli Patricio Rissi, Bruna Caroline Rodrigues, Larissa Carolina Segantini Felipin, Ieda Harumi Higarashi   +5 more
doaj   +1 more source

On principal $G_2$ bundles [PDF]

Asian Journal of Mathematics, 1999
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +1 more source

Conflicting Goals: Calorie Attentiveness and Consumer Food Bundle Choice

, 2021
Policymakers globally are interested in interventions that address the obesity epidemic. The restaurant industry, however, continues to promote less healthy, discounted food bundles.
Omebere-Iyari, O.
core   +5 more sources

Stability of the matrix model in operator interpretation

Nuclear Physics B, 2017
The IIB matrix model is one of the candidates for nonperturbative formulation of string theory, and it is believed that the model contains gravitational degrees of freedom in some manner.
Katsuta Sakai
doaj   +1 more source