Killing sections and sigma models with Lie algebroid targets (Q340499)

The author defines and studies the notion of a Killing section of a Riemannian Lie algebroid as a natural generalisation of a Killing vector field. He shows that the various expressions for a vector field to be Killing naturally generalise to the setting of Lie algebroids. As an application, he examines the internal symmetries of a class of sigma models for which the target space is a Riemannian Lie algebroid. Critical points of these sigma models are interpreted as generalised harmonic maps.