Metrizable linear connections in a Lie algebroid

Mathematics – Differential Geometry

Scientific paper

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p.10, no figures, Invited paper to celebrate Professor Constantin Udri\c{s}te, on the occasion of his seventies

Scientific paper

A linear connection $D$ in a Lie algebroid is said to be metrizable if there
exists a Riemannian metric $h$ in the Lie algebroid such that $Dh=0$.
Conditions for the linear connection $D$ to be metrizable are investigated.

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