Results 121 to 130 of about 2,005,888 (281)
Quantum Principal Bundles as Hopf-Galois Extensions [PDF]
arXiv, 1995 It is shown that every quantum principal bundle with a compact structure group is a Hopf-Galois extension. This property naturally extends to the level of general differential structures, so that every differential calculus over a quantum principal bundle with a compact structure group is a graded-differential variant of the Hopf-Galois extension.
arxiv
On principal torus bundles over a homogeneous contact manifold [PDF]
, 1964 Yôsuke Ogawa
openalex +1 more source
Hierarchy of spaces of projective connection
Дифференциальная геометрия многообразий фигур, 2018 We consider the bundle of projective frames over a smooth manifold, i. e. the principal bundle whose typical fiber is the projective group. The giving fundamental-group connection in this bundle transforms it into a space of general projective connection.
Yu. Shevchenko
doaj
Equivariant class group. II. Enriched descent theorem [PDF]
arXiv, 2014 We prove a version of Grothendieck's descent theorem on an `enriched' principal fiber bundle, a principal fiber bundle with an action of a larger group scheme. Using this, we prove the isomorphisms of the equivariant Picard and the class groups arising from such a principal fiber bundle.
arxiv
, 2015 Let $P\to M$ be a principal bundle. Consider a sequence of metrics on $P$ obtained by re-scaling the fibers to points. The Gromov-Hausdorff limit of the tangent bundles over these principal bundles with their Sasaki metric is seen herein to be a locally trivial fiber bundle containing the tangent space to the base as a subbundle in a natural way ...
openaire +2 more sources
Homogeneous holomorphic hermitian principal bundles over hermitian symmetric spaces [PDF]
arXiv, 2016 We give a complete characterization of invariant integrable complex structures on principal bundles defined over hermitian symmetric spaces, using the Jordan algebraic approach for the curvature computations. In view of possible generalizations, the general setup of invariant holomorphic principal fibre bundles is described in a systematic way.
arxiv
Дифференциальная геометрия многообразий фигур, 2018 The congruence of hypercentred planes is investigated in n-dimensional projective space. The congruence is a holonomic smooth manifold. It is proved that curvature object for the fundamental-group connection in the principal fibre bundle associated ...
A. Vyalova
doaj
Computation of the masses of the elementary particles
AIP AdvancesAn approach to gauge theory in the context of locally conformally flat space–time is described. It is discussed how there are a number of natural principal bundles associated with any given locally conformally flat space–time X.
John Mashford
doaj +1 more source