2017/09/07 by Ionescu, Alexandru
#17B66 #53B21 #53B35 #53B40 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1709.02730
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.