We consider smooth families of Lie groups (group bundles) and connections that are compatible with the group operation. characterize space on a bundle as an affine modeled over vector $$1$$ -forms values cocycles in algebra aforementioned bundle. show satisfy Ambrose–Singer theorem bundles can be seen particular case associated realizing connections. give construction Moduli fixed base fiber, r...

A flexible and coherent bundle of hollow optical fibers was fabricated for infrared thermal imaging. For acquisition of thermal images, differences in the transmission efficiency among the fibers were numerically compensated to obtain high temperature resolution of 1°C for measuring body temperature. In a lens system with 10-fold magnification and hollow fibers of 320-μm inner diameter, the spa...

In this article, a natural weakly symplectic form on a natural configuration space associated to the fiber bundle of a given field theory is constructed. Although the form is in general not strongly symplectic, in the case of a vector bundle it gives rise to a Poisson bracket on a dense subspace of the differentiable L-functions on this space. If one has a local field theory whose Lagrangian’s ...

We report a case of a 7-year-old girl with atriofascicular Mahaim (AFM) pathway concomitant with Ebstein's anomaly. The QRS wave showed left bundle branch block pattern on electrocardiogram. Holter electrocardiogram showed prolongation of the PR interval and QRS morphological change during sinus tachycardia. An electrophysiological study demonstrated that the distal His potential appeared earli...

Based on the usual Fedosov construction of star products for a symplectic manifold M we give a simple geometric construction of a bimodule deformation for the sections of a vector bundle over M starting with a symplectic connection on M and a connection for E. In the case of a line bundle this gives a Morita equivalence bimodule where the relation between the characteristic classes of the Morit...

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 F of fibers. Well known results on fibre bundles are shown to be true for stratified bundles; namely the pull back theorem, the bundle theorem and the principal bundle theorem. AMS SC : 55R55 (Fiberings with singularities); 55R65 (Generalizations o...

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 F of fibers. Well known results on fibre bundles are shown to be true for stratified bundles; namely the pull back theorem, the bundle theorem and the principal bundle theorem. AMS SC : 55R55 (Fiberings with singularities); 55R65 (Generalizations o...

We discuss this problem through fiber bundle model (FBM) -where a bundle of fibers is subjected to external load and fibers have distributed thresholds. External load is increased quasi-statically -which produces 'bursts' (number of failing fibers) of diffrent sizes. The burst statistics shows a robust crossover behavior near the failure point which can be treated as a signature of imminent fai...

In ten owl monkey eyes (Aotus trivirgatus) the location of pressure-induced (perfusion pressure 35 mmHg) axonal transport abnormalities was determined by the examination of serial step cross-section tissue radio autographs from the optic nerve head. The degree of the local transport interruption did not correlate with the fiber bundle cross-section area, the shape of the laminar pores or the de...

I show that, in the geometry of a fiber bundle describing a gauge theory, curvature and parallel transport ensure and impose nonseparability. The "Einstein-Podolsky-Rosen paradox" is thus resolved "classically." I conjecture that the ostentatiously "implausible" features of the quantum treatment are due to the fact that space-time separability, a basic assumption of single-particle nonrelativis...