English

Metrizable linear connections in a Lie algebroid

Differential Geometry 2010-03-10 v1

Abstract

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

Cite

@article{arxiv.1003.1948,
  title  = {Metrizable linear connections in a Lie algebroid},
  author = {Mihai Anastasiei},
  journal= {arXiv preprint arXiv:1003.1948},
  year   = {2010}
}

Comments

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

R2 v1 2026-06-21T14:55:40.687Z