3 papers
math.DG2017
Laplace operators on holomorphic Lie algebroids
Alexandru Ionescu
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…
math.DG2017
Finsler structures on holomorphic Lie algebroids
Alexandru Ionescu
Complex Finsler vector bundles have been studied mainly by T. Aikou, who defined complex Finsler structures on holomorphic vector bundles. In this paper, we consider the more gener…
math.DG2016
Connections in holomorphic Lie algebroids
Alexandru Ionescu, Gheorghe Munteanu
The main purpose of this note is the study of the total space of a holomorphic Lie algebroid . The paper is structured in three parts. In the first section we briefly introduce…