Laplace operators on holomorphic Lie algebroids
arXiv:1709.02730
Abstract
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 of the Laplace operators considered in the paper are also locally expressed using the Chern-Finsler connection of the algebroid.
arXiv admin note: text overlap with arXiv:1705.09095