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Lateral Extra-articular Tenodesis Notably Reduced Residual Knee Instability and Anterior Tibial Translation in Patients With an Anterior Cruciate Ligament Injury Combined With a High-Grade Pivot-Shift Phenomenon. [PDF]

Orthop J Sports Med
Ni QK, Chen W, Lv JT, Wang YJ, Mu MD, Zhang H, Guo L.   +6 more
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Atomic insights into the signaling landscape ofE. coliPhoQ Histidine Kinase from Molecular Dynamics simulations

Lazaridi S, Yuan J, Lemmin T.
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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 ...
Mauro Francaviglia, Lorenzo Fatibene
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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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Connections and Higgs fields on a principal bundle

Annals of Global Analysis and Geometry, 2007
Let M be a compact connected Kahler manifold and G a connected linear algebraic group defined over \({\mathbb{C}}\) . A Higgs field on a holomorphic principal G-bundle eG over M is a holomorphic section θ of \(\text{ad}(\epsilon_{G})\otimes {\Omega}^{1}_{M}\) such that θ∧ θ = 0.
Tomás Gómez, Indranil Biswas
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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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Bundle realizations and invariant connections in an Abelian principal bundle

Journal of Mathematical Physics, 1992
In this paper the concept of bundle realization of a Lie group on an Abelian principal bundle is defined. This definition is based on the theory of locally operating realizations of Lie groups. Afterward the bundle realizations are studied and characterized into pseudoequivalence classes.
Mariano A. del Olmo, Javier Negro
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Natural principal connections on the principal gauge prolongation of a principal bundle

Reports on Mathematical Physics, 2009
Let $\Gamma$ be a principal connection on a principal bundle $\pi:P\to M$ and let $\Lambda$ be a linear connection on $M$. We describe all possible natural prolongations of $\Gam$, with respect to $\Lam$, to principal connections on the principal gauge prolongation $W^rP$ of $P$.
Jan Vondra, Josef Janyška
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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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Universal connections in Fréchet principal bundles

Periodica Mathematica Hungarica, 2007
A new methodology leading to the construction of a universal connec- tion for Frechet principal bundles is proposed in this paper. The classical theory, applied successfully so far for finite dimensional and Banach mod- elled bundles, collapses within the framework of Frechet manifolds.
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