Laplace operators on holomorphic Lie algebroids

Alexandru Ionescu
2018 Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica  
The paper introduces Laplace-type operators for functions defined on the tangent space of a Finsler Lie algebroid, using a volume form on the prolongation of the algebroid. It also presents the construction of a horizontal Laplace operator for forms defined on the prolongation of the algebroid. All the Laplace operators considered in the paper are also locally expressed using the Chern-Finsler connection of the algebroid.
doi:10.2478/auom-2018-0009 fatcat:qo7w3zk4qbafrfhyzpsi5ofcsq