The warped product of holomorphic Lie algebroids

Alexandru Ionescu; Gheorghe Munteanu

doi:10.2478/auom-2020-0009

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The warped product of holomorphic Lie algebroids

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 28 (2020): Issue 1 (March 2020)

By: Alexandru Ionescu and Gheorghe Munteanu

Open Access

|Apr 2020

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.

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Articles in this issue

DOI: https://doi.org/10.2478/auom-2020-0009 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 117 - 134

Submitted on: May 8, 2019

Accepted on: Jun 30, 2019

Published on: Apr 9, 2020

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

Lie algebroid,

warped product,

prolongation bundle,

nonlinear connection,

Finsler bundle

Related subjects:

Mathematics,

General mathematics

© 2020 Alexandru Ionescu, Gheorghe Munteanu, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 28 (2020): Issue 1 (March 2020)