Laplace operators on holomorphic Lie algebroids

Alexandru Ionescu

doi:10.2478/auom-2018-0009

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Laplace operators on holomorphic Lie algebroids

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 26 (2018): Issue 1 (March 2018)

By: Alexandru Ionescu

Open Access

|Mar 2018

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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Articles in this issue

DOI: https://doi.org/10.2478/auom-2018-0009 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 141 - 158

Submitted on: Jan 7, 2017

Accepted on: Jul 8, 2017

Published on: Mar 31, 2018

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Holomorphic Lie algebroid,

anchor map,

Laplacian for functions,

Laplacian for forms,

nonlinear connection,

prolongation

Related subjects:

Mathematics,

General mathematics

© 2018 Alexandru Ionescu, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 26 (2018): Issue 1 (March 2018)