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math.DG2010★ 8 cited
Metrizable linear connections in a Lie algebroid
Mihai Anastasiei
A linear connection in a Lie algebroid is said to be metrizable if there exists a Riemannian metric in the Lie algebroid such that . Conditions for the linear connect…
math.DG2010★ 2 cited
Banach Lie algebroids
Mihai Anastasiei
First, we extend the notion of second order differential equations (SODE) on a smooth manifold to anchored Banach vector bundles. Then we define the Banach Lie algebroids as Lie al…