<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

Online veröffentlicht: 09. Apr. 2020

Seitenbereich: 117 - 134

Eingereicht: 08. Mai 2019

Akzeptiert: 30. Juni 2019

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

Schlüsselwörter
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

Online veröffentlicht: 09. Apr. 2020

Seitenbereich: 117 - 134

Eingereicht: 08. Mai 2019

Akzeptiert: 30. Juni 2019

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

SchlüsselwörterLie 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.

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