Laplace operators on holomorphic Lie algebroids

Ionescu, Alexandru

doi:10.2478/auom-2018-0009

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 the Laplace operators considered in the paper are also locally expressed using the Chern-Finsler connection of the algebroid.

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Laplace operators on holomorphic Lie algebroids

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