Recent content by LargeDeviant

Thanks Kreizhn! The triple (x,w,v) and the differential [ itex ] d \pi: (x,w,v) \rightarrow (x,w) [/ itex ] that you mention certainly makes sense (with v being 2 dimensional in order to keep the [ itex ] dim(T(TM)) = 2 dim(TM)[ / itex ]). Thanks for pointing me to Salamon's notes. They...

I am a physicist trying to understand the notion of holonomy in principal bundles. I am reading about the horizontal lift of a curve in the base manifold of a principal bundle (or just fiber bundle) to the total space and would like to relate it to the "classic" parallel transport one comes...