<abstract xmlns="http://www.w3.org/1999/xhtml"><p> 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. </p></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.

Laplace operators on holomorphic Lie algebroids

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

{"article-title":"Laplace operators on holomorphic Lie algebroids"}

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...

Laplace operators on holomorphic Lie algebroids

Publié en ligne: 31 mars 2018

Pages: 141 - 158

Reçu: 07 janv. 2017

Accepté: 08 juil. 2017

DOI: https://doi.org/10.2478/auom-2018-0009

Mots clés
Holomorphic Lie algebroid, anchor map, Laplacian for functions, Laplacian for forms, nonlinear connection, prolongation

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Laplace operators on holomorphic Lie algebroids

Publié en ligne: 31 mars 2018

Pages: 141 - 158

Reçu: 07 janv. 2017

Accepté: 08 juil. 2017

DOI: https://doi.org/10.2478/auom-2018-0009

Mots clésHolomorphic Lie algebroid, anchor map, Laplacian for functions, Laplacian for forms, nonlinear connection, prolongation

© 2018

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
Holomorphic Lie algebroid, anchor map, Laplacian for functions, Laplacian for forms, nonlinear connection, prolongation