43 citations · 352 across the 38 of their papers we have counts for
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3 papers · 1 filter
math.DG2002★ 2 cited
Note on generalised connections and affine bundles
T. Mestdag, W. Sarlet, E. Martinez
We develop an alternative view on the concept of connections over a vector bundle map, which consists of a horizontal lift procedure to a prolonged bundle. We further focus on prol…
math.DG2002★ 43 cited
Lie algebroid structures and Lagrangian systems on affine bundles
Eduardo Martinez, Tom Mestdag, Willy Sarlet
As a continuation of previous papers, we study the concept of a Lie algebroid structure on an affine bundle by means of the canonical immersion of the affine bundle into its bidual…
math.DG2002★ 33 cited
Lie algebroid structures on a class of affine bundles
W. Sarlet, T. Mestdag, E. Martinez
We introduce the notion of a Lie algebroid structure on an affine bundle whose base manifold is fibred over the real numbers. It is argued that this is the framework which one need…