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The Fiber Bundle

Frontiers Research Topics, 2022

semanticscholar   +1 more source

Fiber Bundles and Foliations

1985
The notion of holonomy of a leaf introduced in the previous chapter is essentially of local character. It is defined by a group of germs of diffeomorphisms of a transverse section to a leaf, with a fixed point. In certain circumstances, however, it is possible to associate to the foliation a group of diffeomorphisms of a global transverse section ...
Alcides Lins Neto, César Camacho
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MEGARA fiber bundles

SPIE Proceedings, 2014
MEGARA (Multi Espectrografo en GTC de Alta Resolucion para Astronomia) is the future optical Integral-Field Unit (IFU) and Multi-Object Spectrograph (MOS) for the 10.4-m Gran Telescopio CANARIAS (GTC). MEGARA has three different fiber bundles, the Large Central Bundle covering 12.5 arcsec x 11.3 arcsec on sky, the Small Compact Bundle, of 8.5 arcsec
Jorge Iglesias-Páramo   +10 more
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Fiber bundles in quantum physics

Journal of Mathematical Physics, 2002
The theory of fiber bundles provides a natural setting for the description of macroscopic quantum systems, wherein their classical and quantum features are represented by actions on the base manifolds and the fibers, respectively, of the relevant bundles.
R. N. Sen, Geoffrey L. Sewell
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Connections on differentiable fiber bundles

Journal of Soviet Mathematics, 1985
Translation from Itogi Nauki Tekh., Ser. Probl. Geom. 15, 61-93 (Russian) (1983; Zbl 0563.53023).
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Invariant Fiber Bundles

2010
In a broad range of qualitative studies on nonlinear dynamical systems, invariant manifolds are omnipresent and play a crucial role for local as well as global questions: For instance, local stable and unstable manifolds dictate the saddle-point behavior in the vicinity of hyperbolic solutions (or surfaces) of a system. As illustrated by the celebrated
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Principal Fiber Bundles

2019
In this chapter we treat the theory of principal bundles and connections on them for families of supermanifolds. The most important examples of principal bundles are frame bundles of vector bundles. Many extra structures on vector bundles, such as metrics or almost complex structures can actually be formulated in terms of a reduction of the structure ...
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Fiber Bundles and Connections

2013
The elegance of the geometrical expression of physical ideas has attracted much attention ever since Einstein proposed his geometrical theory of gravity in 1916. Such an expression was, however, confined to the general theory of relativity until the 1970s when the language of geometry was found to be most suitable, not only for gravity, but also for ...
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