Results 51 to 60 of about 224,756 (248)
An application of Lie groupoids to a rigidity problem of 2-step nilmanifolds [PDF]
Mathematica Bohemica, 2019 We study a problem of isometric compact 2-step nilmanifolds $M/\Gamma$ using some information on their geodesic flows, where $M$ is a simply connected 2-step nilpotent Lie group with a left invariant metric and $\Gamma$ is a cocompact discrete subgroup ...
Hamid-Reza Fanaï, Atefeh Hasan-Zadeh
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A construction of Shatz strata in the polystable $ G_2 $-bundles moduli space using Hecke curves
Electronic Research ArchiveLet $ X $ be a compact Riemann surface of genus $ g\geq 2 $ and $ M(G_2) $ be the moduli space of polystable principal $ G_2 $-bundles over $ X $. The Harder-Narasimhan types of the bundles induced a stratification of the moduli space $ M(G_2) $ called ...
Álvaro Antón-Sancho
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Connections in the semiholonomic frame bundle of order r
Lietuvos Matematikos Rinkinys, 1999 In this article we define the canonical forms on the principal bundle of semiholonomic frames of order r, give structure equations for these forms and determine the connection of order r.
Kazimeras Navickis
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Manifolds with many complex structures [PDF]
, 1995 Let G be a Lie subgroup of GL(n). The bundle of frames F on a manifold Mn is a principal GL(n)- bundle overM, and a G- structure onM is a principal subbundle P of F with group G, using the given inclusion G ⊂ GL(n) and not some other.
Joyce, Dominic
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Variational Principle for Relative Tail Pressure
Entropy, 2017 We introduce the relative tail pressure to establish a variational principle for continuous bundle random dynamical systems. We also show that the relative tail pressure is conserved by the principal extension.
Xianfeng Ma, Ercai Chen
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Principal infinity-bundles -- General theory [PDF]
Journal of Homotopy and Related Structures, Volume 10, Issue 4
(2015), pages 749-801, 2012 The theory of principal bundles makes sense in any infinity-topos, such as that of topological, of smooth, or of otherwise geometric infinity-groupoids/infinity-stacks, and more generally in slices of these. It provides a natural geometric model for structured higher nonabelian cohomology and controls general fiber bundles in terms of associated ...
arxiv +1 more source
Non-abelian higher gauge theory and categorical bundle
, 2016 A gauge theory is associated with a principal bundle endowed with a connection permitting to define horizontal lifts of paths. The horizontal lifts of surfaces cannot be defined into a principal bundle structure.
Viennot, David
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Crossed Module Bundle Gerbes; Classification, String Group and Differential Geometry
, 2005 We discuss nonabelian bundle gerbes and their differential geometry using simplicial methods. Associated to any crossed module there is a simplicial group NC, the nerve of the 1-category defined by the crossed module and its geometric realization |NC ...
Aschieri P. +7 more
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Lectures on Principal Bundles [PDF]
, 2009 To Peter Newstead on his 65th birthday Introduction The aim of these lectures is to give a brief introduction to principal bundles on algebraic curves towards the construction of the moduli spaces of semistable principal bundles. The second section develops the basic machinery on principal bundles and their automorphisms.
openaire +3 more sources
Loop Groups, Kaluza-Klein Reduction and M-Theory
, 2004 We show that the data of a principal G-bundle over a principal circle bundle is equivalent to that of a \hat{LG} = U(1) |x LG bundle over the base of the circle bundle.
A. Adams +24 more
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