Geodesic
The Doubly Warped Product of Holomorphic Lie Algebroids
Journal of Lie theory, Tome 30 (2020) no. 3, pp. 767-778
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We define the doubly warped product of holomorphic Finsler Lie algebroids. We consider a complex Finsler function and the Chern-Finsler connection of the product bundle and we investigate its relation with the Chern-Finsler connections of each bundle. In the geometrical setting of the prolongations of two Finsler algebroids, we obtain similar and also different properties from the ones of the doubly warped product of Finsler manifolds.
Classification : 17B66, 53B40, 53C60,53D17
Mots-clés : Lie algebroid, doubly warped product, prolongation bundle, nonlinear connection, Finsler bundle 
@article{JLT_2020_30_3_JLT_2020_30_3_a7,
     author = {A.-M. Ionescu and A. Ionescu},
     title = {The {Doubly} {Warped} {Product} of {Holomorphic} {Lie} {Algebroids}},
     journal = {Journal of Lie theory},
     pages = {767--778},
     year = {2020},
     volume = {30},
     number = {3},
     url = {http://geodesic.mathdoc.fr/item/JLT_2020_30_3_JLT_2020_30_3_a7/}
}
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A.-M. Ionescu; A. Ionescu. The Doubly Warped Product of Holomorphic Lie Algebroids. Journal of Lie theory, Tome 30 (2020) no. 3, pp. 767-778. http://geodesic.mathdoc.fr/item/JLT_2020_30_3_JLT_2020_30_3_a7/