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.
1
Faculty of Mathematics and Informatics, Transilvania University, Brasov, Romania
Ana-Maria Ionescu; Alexandru 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/JOLT_2020_30_3_a7/
@article{JOLT_2020_30_3_a7,
author = {Ana-Maria Ionescu and Alexandru 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/JOLT_2020_30_3_a7/}
}
TY - JOUR
AU - Ana-Maria Ionescu
AU - Alexandru Ionescu
TI - The Doubly Warped Product of Holomorphic Lie Algebroids
JO - Journal of Lie Theory
PY - 2020
SP - 767
EP - 778
VL - 30
IS - 3
UR - http://geodesic.mathdoc.fr/item/JOLT_2020_30_3_a7/
ID - JOLT_2020_30_3_a7
ER -
%0 Journal Article
%A Ana-Maria Ionescu
%A Alexandru Ionescu
%T The Doubly Warped Product of Holomorphic Lie Algebroids
%J Journal of Lie Theory
%D 2020
%P 767-778
%V 30
%N 3
%U http://geodesic.mathdoc.fr/item/JOLT_2020_30_3_a7/
%F JOLT_2020_30_3_a7
