Results 71 to 80 of about 226,702 (248)
Differential geometry of collective models
AIMS Mathematics, 2019 The classical astrophysical theory of Riemann ellipsoids and the quantum nuclear theory of Bohr and Mottelson share a common mathematical foundation in terms of the differential geometry of a principal bundle ${\cal P}$ and its associated vector bundle E,
George Rosensteel
doaj +1 more source
Parallel Transport on Principal Bundles over Stacks [PDF]
, 2015 In this paper we introduce a notion of parallel transport for principal bundles with connections over differentiable stacks. We show that principal bundles with connections over stacks can be recovered from their parallel transport thereby extending the results of Barrett, Caetano and Picken, and Schreiber and Waldof from manifolds to stacks.
arxiv +1 more source
Monodromy group for a strongly semistable principal bundle over a curve, II
, 2006 Let $X$ be a geometrically irreducible smooth projective curve defined over a field $k$. Assume that $X$ has a $k$-rational point; fix a $k$-rational point $x\in X$.
Biswas, Indranil, Parameswaran, A. J.
core +2 more sources
Diffeological principal bundles and principal infinity bundles
Journal of Homotopy and Related StructuresIn this paper, we study diffeological spaces as certain kinds of discrete simplicial presheaves on the site of cartesian spaces with the coverage of good open covers. The Čech model structure on simplicial presheaves provides us with a notion of $\infty$-stack cohomology of a diffeological space with values in a diffeological abelian group $A$.
openaire +2 more sources
Toward an Automatic Calibration of Dual Fluoroscopy Imaging Systems [PDF]
The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2016 High-speed dual fluoroscopy (DF) imaging provides a novel, in-vivo solution to quantify the six-degree-of-freedom skeletal kinematics of humans and animals with sub-millimetre accuracy and high temporal resolution.
K. Al-Durgham +4 more
doaj +1 more source
Locally trivial quantum vector bundles and associated vector bundles [PDF]
arXiv, 2000 We define locally trivial quantum vector bundles (QVB) and QVB associated to locally trivial quantum principal fibre bundles. There exists a differential structure on the associated vector bundle coming from the differential structure on the principal bundle, which allows to define connections on the associated vector bundle associated to connections ...
arxiv
A Geometric Approach to Noncommutative Principal Torus Bundles
, 2012 A (smooth) dynamical system with transformation group $\mathbb{T}^n$ is a triple $(A,\mathbb{T}^n,\alpha)$, consisting of a unital locally convex algebra $A$, the $n$-torus $\mathbb{T}^n$ and a group homomorphism $\alpha:\mathbb{T}^n\rightarrow\Aut(A ...
Wagner, Stefan
core +1 more source
Deformation theory of holomorphic Cartan geometries, II
Complex Manifolds, 2022 In this continuation of [4], we investigate the deformations of holomorphic Cartan geometries where the underlying complex manifold is allowed to move. The space of infinitesimal deformations of a flat holomorphic Cartan geometry is computed.
Biswas Indranil +2 more
doaj +1 more source
Connections on a parabolic principal bundle, II [PDF]
arXiv, 2007 In \cite{Bi2} (Canad. Jour. Math. Vol. 58) we defined connections on a parabolic principal bundle. While connections on usual principal bundles are defined as splittings of the Atiyah exact sequence, it was noted in \cite{Bi2} that the Atiyah exact sequence does not generalize to the parabolic principal bundles.
arxiv
, 2002 A stratified bundle is a fibered space in which strata are classical bundles and in which attachment of strata is controlled by a structure category of fibers.
Baues, Hans-Joachim, Ferrario, Davide L.
core +2 more sources