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arXiv · 1003.1948

Metrizable linear connections in a Lie algebroid

Mihai Anastasiei
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Abstract

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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Mihai Anastasiei. 2010-03-09. Metrizable linear connections in a Lie algebroid. https://arxiv.org/abs/1003.1948

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