Results 41 to 50 of about 224,756 (248)
On the uniform perfectness of equivariant diffeomorphism groups for principal G manifolds [PDF]
Opuscula Mathematica, 2017 We proved in [K. Abe, K. Fukui, On commutators of equivariant diffeomorphisms, Proc. Japan Acad. 54 (1978), 52-54] that the identity component \(\text{Diff}\,^r_{G,c}(M)_0\) of the group of equivariant \(C^r\)-diffeomorphisms of a principal \(G\) bundle \
Kazuhiko Fukui
doaj +1 more source
Relative connections on Principal bundles and relative equivariant structures [PDF]
arXiv, 2023 We investigate relative holomorphic connections on a principal bundle over a family of compact complex manifolds. A sufficient condition is given for the existence of a relative holomorphic connection on a holomorphic principal bundle over a complex analytic family. We also introduce the notion of relative equivariant bundles and establish its relation
arxiv
Group actions, non-Kähler complex manifolds and SKT structures
Complex Manifolds, 2018 We give a construction of integrable complex structures on the total space of a smooth principal bundle over a complex manifold, with an even dimensional compact Lie group as structure group, under certain conditions.
Poddar Mainak, Thakur Ajay Singh
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A Categorical Equivalence between Generalized Holonomy Maps on a Connected Manifold and Principal Connections on Bundles over that Manifold [PDF]
, 2015 A classic result in the foundations of Yang-Mills theory, due to J. W. Barrett ["Holonomy and Path Structures in General Relativity and Yang-Mills Theory." Int. J. Th. Phys.
Bleecker D. +12 more
core +3 more sources
Frontiers in Environmental Science, 2021 In this study, a survey with 4,580 residents in the Yangtze River Middle Reaches Megalopolis, central China, was conducted to assess the perceived importance of local ESs.
Guanshi Zhang +7 more
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The Existence of Cartan Connections and Geometrizable Principal Bundles [PDF]
Arch. Math. (Basel) 83 (2004), no. 2, 159-163, 2002 The aim of this article is to proof a necessary and sufficient condition for the existence of a Cartan connection on a principal bundle. After collecting the essentially well known facts to fix the terminology, soldering forms and geometrizable principal bundles are defined to finally prove the existence criterion.
arxiv +1 more source
Translation map in quantum principal bundles
, 1996 The notion of a translation map in a quantum principal bundle is introduced. A translation map is then used to prove that the cross sections of a quantum fibre bundle $E(B,V,A)$ associated to a quantum principal bundle $P(B,A)$ are in bijective ...
Booss +23 more
core +1 more source
Harmonic forms on principal bundles [PDF]
Asian Journal of Mathematics, 2012 26 pages; v2 corrected typos and minor ...
openaire +4 more sources
Dunkl Operators as Covariant Derivatives in a Quantum Principal Bundle
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 +1 more source
A new kind of geometric phases in open quantum systems and higher gauge theory
, 2011 A new approach extending the concept of geometric phases to adiabatic open quantum systems described by density matrices (mixed states) is proposed. This new approach is based on an analogy between open quantum systems and dissipative quantum systems ...
Lages, Jose, Viennot, David
core +2 more sources