<abstract xmlns="http://www.w3.org/1999/xhtml"><p>We introduce the warped product of two holomorphic Finsler algebroids and we define a complex Finsler function on it. We study the Chern-Finsler connections of the bundles and of their product and we investigate their curvatures. We use the geometrical setting of the prolongations of the two bundles to obtain some similar and some different properties from the ones of the warped product of Finsler manifolds.</p></abstract>

We introduce the warped product of two holomorphic Finsler algebroids and we define a complex Finsler function on it. We study the Chern-Finsler connections of the bundles and of their product and we investigate their curvatures. We use the geometrical setting of the prolongations of the two bundles to obtain some similar and some different properties from the ones of the warped product of Finsler manifolds.

The warped product of holomorphic Lie algebroids

Department of Mathematics and Informatics

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

{"article-title":"The warped product of holomorphic Lie algebroids"}

We introduce the warped product of two holomorphic Finsler algebroids and we define a complex Finsler function on it. We study the Chern-Finsler connections of...

The warped product of holomorphic Lie algebroids

Published Online: Apr 09, 2020

Page range: 117 - 134

Received: May 08, 2019

Accepted: Jun 30, 2019

DOI: https://doi.org/10.2478/auom-2020-0009

Keywords
Lie algebroid, warped product, prolongation bundle, nonlinear connection, Finsler bundle

© 2020 Alexandru Ionescu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

The warped product of holomorphic Lie algebroids

Published Online: Apr 09, 2020

Page range: 117 - 134

Received: May 08, 2019

Accepted: Jun 30, 2019

DOI: https://doi.org/10.2478/auom-2020-0009

KeywordsLie algebroid, warped product, prolongation bundle, nonlinear connection, Finsler bundle

© 2020 Alexandru Ionescu et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Keywords
Lie algebroid, warped product, prolongation bundle, nonlinear connection, Finsler bundle