Laplace operators on holomorphic Lie algebroids
Differential Geometry
2017-09-11 v1
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.
Cite
@article{arxiv.1709.02730,
title = {Laplace operators on holomorphic Lie algebroids},
author = {Alexandru Ionescu},
journal= {arXiv preprint arXiv:1709.02730},
year = {2017}
}
Comments
arXiv admin note: text overlap with arXiv:1705.09095