Results 251 to 260 of about 104,879 (300)

Human single-neuron activity is modulated by intracranial theta burst stimulation of the basolateral amygdala. [PDF]

open access: yesElife
Campbell JM   +19 more
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Connections on a Principal Bundle

2020
This chapter discusses connections on a principal bundle. Throughout the chapter, G will be a Lie group with Lie algebra g. One possible definition of a connection on a principal G-bundle P is a C∞ right-invariant horizontal distribution on P. Equivalently, a connection on P can be given by a right-equivariant g-valued 1-form on P that is the identity ...
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Principal Bundles and Connections

2003
The notion of principal bundle as introduced in Section 1.3 is recalled. Invariant vector fields are then introduced as well as the bundle of vertical automorphisms and the bundle of infinitesimal generators of vertical principal automorphisms. Lie derivatives for principal automorphisms and infinitesimal generators of vertical automorphisms are ...
Lorenzo Fatibene, Mauro Francaviglia
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Connections on principal prolongations of principal bundles

Differential Geometry and Its Applications, 2008
We study the principal connections on the r-th principal prolongation of a principal bundle by using the related Lie algebroids. We deduce that both approaches to the concept of torsion are naturally equivalent. Special attention is paid to the flow prolongation of connections.
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Connections on Principal Bundles

2015
The topic of this chapter has become standard in modern treatments of differential geometry. The very words of the title have even been incorporated into part of a common cliche: Gauge theory is a connection on a principal bundle. We will come back to this relation between physics and geometry in Chapter 14 But just on the geometry side there has been ...
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