1Higher School of Sciences and Technology, Street Lamine Abassi BP 4011, Hammam Sousse, Tunisia 2Higher Institute of Applied Sciences and Technology, Street Tahar Ben Achour BP 4003, Sousse, Tunisia
Journal of Lie Theory, Tome 28 (2018) no. 2, pp. 499-524
Let G be a Poisson-Lie group equipped with a left invariant Riemannian metric compatible with the Poisson structure on G. There are many ways to lift the Poisson structure and the metric to the tangent bundle TG of G. In this paper, we study in different cases the compatibility between the lifted Poisson structure and the lifted metric on TG.
1
Higher School of Sciences and Technology, Street Lamine Abassi BP 4011, Hammam Sousse, Tunisia
2
Higher Institute of Applied Sciences and Technology, Street Tahar Ben Achour BP 4003, Sousse, Tunisia
Foued Aloui; Nadhem Zaalani. Hawkins Compatibility Conditions on the Tangent Bundle of a Poisson-Lie Group. Journal of Lie Theory, Tome 28 (2018) no. 2, pp. 499-524. http://geodesic.mathdoc.fr/item/JOLT_2018_28_2_a8/
@article{JOLT_2018_28_2_a8,
author = {Foued Aloui and Nadhem Zaalani},
title = {Hawkins {Compatibility} {Conditions} on the {Tangent} {Bundle} of a {Poisson-Lie} {Group}},
journal = {Journal of Lie Theory},
pages = {499--524},
year = {2018},
volume = {28},
number = {2},
url = {http://geodesic.mathdoc.fr/item/JOLT_2018_28_2_a8/}
}
TY - JOUR
AU - Foued Aloui
AU - Nadhem Zaalani
TI - Hawkins Compatibility Conditions on the Tangent Bundle of a Poisson-Lie Group
JO - Journal of Lie Theory
PY - 2018
SP - 499
EP - 524
VL - 28
IS - 2
UR - http://geodesic.mathdoc.fr/item/JOLT_2018_28_2_a8/
ID - JOLT_2018_28_2_a8
ER -
%0 Journal Article
%A Foued Aloui
%A Nadhem Zaalani
%T Hawkins Compatibility Conditions on the Tangent Bundle of a Poisson-Lie Group
%J Journal of Lie Theory
%D 2018
%P 499-524
%V 28
%N 2
%U http://geodesic.mathdoc.fr/item/JOLT_2018_28_2_a8/
%F JOLT_2018_28_2_a8
